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Finding the Fourth Proportional to 2,598.42, 3,901.68 and 2,318.16

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Solution

The fourth proportional to 2,598.42, 3,901.68 and 2,318.16 is: 3,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.42 : 3,901.68 = 2,318.16 : x
  2. Step 2: Convert to fraction form
    2,598.42/3,901.68 = 2,318.16/x
  3. Step 3: Cross multiply
    2,598.42x = 3,901.68 × 2,318.16
  4. Step 4: Simplify right side
    2,598.42x = 9,044,718.51
  5. Step 5: Solve for x
    x = 9,044,718.51/2,598.42
  6. Step 6: Final answer
    x = 3,480.85

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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.