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Finding the Fourth Proportional to 1,847.50, 2,549.55 and 1,061.53

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Solution

The fourth proportional to 1,847.50, 2,549.55 and 1,061.53 is: 1,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.50 : 2,549.55 = 1,061.53 : x
  2. Step 2: Convert to fraction form
    1,847.50/2,549.55 = 1,061.53/x
  3. Step 3: Cross multiply
    1,847.50x = 2,549.55 × 1,061.53
  4. Step 4: Simplify right side
    1,847.50x = 2,706,423.81
  5. Step 5: Solve for x
    x = 2,706,423.81/1,847.50
  6. Step 6: Final answer
    x = 1,464.91

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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.