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Finding the Fourth Proportional to 2,412.76, 3,329.76 and 1,365.16

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Solution

The fourth proportional to 2,412.76, 3,329.76 and 1,365.16 is: 1,884.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.76 : 3,329.76 = 1,365.16 : x
  2. Step 2: Convert to fraction form
    2,412.76/3,329.76 = 1,365.16/x
  3. Step 3: Cross multiply
    2,412.76x = 3,329.76 × 1,365.16
  4. Step 4: Simplify right side
    2,412.76x = 4,545,655.16
  5. Step 5: Solve for x
    x = 4,545,655.16/2,412.76
  6. Step 6: Final answer
    x = 1,884.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.