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Finding the Fourth Proportional to 2,460.13, 3,688.96 and 816.40

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Solution

The fourth proportional to 2,460.13, 3,688.96 and 816.40 is: 1,224.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.13 : 3,688.96 = 816.40 : x
  2. Step 2: Convert to fraction form
    2,460.13/3,688.96 = 816.40/x
  3. Step 3: Cross multiply
    2,460.13x = 3,688.96 × 816.40
  4. Step 4: Simplify right side
    2,460.13x = 3,011,666.94
  5. Step 5: Solve for x
    x = 3,011,666.94/2,460.13
  6. Step 6: Final answer
    x = 1,224.19

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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.