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Finding the Fourth Proportional to 1,729.64, 2,572.45 and 1,677.80

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Solution

The fourth proportional to 1,729.64, 2,572.45 and 1,677.80 is: 2,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.64 : 2,572.45 = 1,677.80 : x
  2. Step 2: Convert to fraction form
    1,729.64/2,572.45 = 1,677.80/x
  3. Step 3: Cross multiply
    1,729.64x = 2,572.45 × 1,677.80
  4. Step 4: Simplify right side
    1,729.64x = 4,316,056.61
  5. Step 5: Solve for x
    x = 4,316,056.61/1,729.64
  6. Step 6: Final answer
    x = 2,495.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.