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Finding the Fourth Proportional to 1,865.76, 2,569.08 and 1,617.10

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Solution

The fourth proportional to 1,865.76, 2,569.08 and 1,617.10 is: 2,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.76 : 2,569.08 = 1,617.10 : x
  2. Step 2: Convert to fraction form
    1,865.76/2,569.08 = 1,617.10/x
  3. Step 3: Cross multiply
    1,865.76x = 2,569.08 × 1,617.10
  4. Step 4: Simplify right side
    1,865.76x = 4,154,459.27
  5. Step 5: Solve for x
    x = 4,154,459.27/1,865.76
  6. Step 6: Final answer
    x = 2,226.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.