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Finding the Fourth Proportional to 2,463.36, 3,700.16 and 1,540

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Solution

The fourth proportional to 2,463.36, 3,700.16 and 1,540 is: 2,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.36 : 3,700.16 = 1,540 : x
  2. Step 2: Convert to fraction form
    2,463.36/3,700.16 = 1,540/x
  3. Step 3: Cross multiply
    2,463.36x = 3,700.16 × 1,540
  4. Step 4: Simplify right side
    2,463.36x = 5,698,246.40
  5. Step 5: Solve for x
    x = 5,698,246.40/2,463.36
  6. Step 6: Final answer
    x = 2,313.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.