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Finding the Fourth Proportional to 1,657.61, 2,485.16 and 1,429.19

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Solution

The fourth proportional to 1,657.61, 2,485.16 and 1,429.19 is: 2,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.61 : 2,485.16 = 1,429.19 : x
  2. Step 2: Convert to fraction form
    1,657.61/2,485.16 = 1,429.19/x
  3. Step 3: Cross multiply
    1,657.61x = 2,485.16 × 1,429.19
  4. Step 4: Simplify right side
    1,657.61x = 3,551,765.82
  5. Step 5: Solve for x
    x = 3,551,765.82/1,657.61
  6. Step 6: Final answer
    x = 2,142.70

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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.