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Finding the Fourth Proportional to 2,453.76, 3,386.88 and 1,509.84

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Solution

The fourth proportional to 2,453.76, 3,386.88 and 1,509.84 is: 2,084.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.76 : 3,386.88 = 1,509.84 : x
  2. Step 2: Convert to fraction form
    2,453.76/3,386.88 = 1,509.84/x
  3. Step 3: Cross multiply
    2,453.76x = 3,386.88 × 1,509.84
  4. Step 4: Simplify right side
    2,453.76x = 5,113,646.90
  5. Step 5: Solve for x
    x = 5,113,646.90/2,453.76
  6. Step 6: Final answer
    x = 2,084.00

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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.