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Finding the Fourth Proportional to 2,473.06, 3,412.02 and 2,365.24

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Solution

The fourth proportional to 2,473.06, 3,412.02 and 2,365.24 is: 3,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.06 : 3,412.02 = 2,365.24 : x
  2. Step 2: Convert to fraction form
    2,473.06/3,412.02 = 2,365.24/x
  3. Step 3: Cross multiply
    2,473.06x = 3,412.02 × 2,365.24
  4. Step 4: Simplify right side
    2,473.06x = 8,070,246.18
  5. Step 5: Solve for x
    x = 8,070,246.18/2,473.06
  6. Step 6: Final answer
    x = 3,263.26

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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.