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Finding the Fourth Proportional to 1,702.89, 2,554.70 and 1,458.81

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Solution

The fourth proportional to 1,702.89, 2,554.70 and 1,458.81 is: 2,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.89 : 2,554.70 = 1,458.81 : x
  2. Step 2: Convert to fraction form
    1,702.89/2,554.70 = 1,458.81/x
  3. Step 3: Cross multiply
    1,702.89x = 2,554.70 × 1,458.81
  4. Step 4: Simplify right side
    1,702.89x = 3,726,814.61
  5. Step 5: Solve for x
    x = 3,726,814.61/1,702.89
  6. Step 6: Final answer
    x = 2,188.52

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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.