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Finding the Fourth Proportional to 1,657.60, 2,483.52 and 1,366.72

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Solution

The fourth proportional to 1,657.60, 2,483.52 and 1,366.72 is: 2,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.60 : 2,483.52 = 1,366.72 : x
  2. Step 2: Convert to fraction form
    1,657.60/2,483.52 = 1,366.72/x
  3. Step 3: Cross multiply
    1,657.60x = 2,483.52 × 1,366.72
  4. Step 4: Simplify right side
    1,657.60x = 3,394,276.45
  5. Step 5: Solve for x
    x = 3,394,276.45/1,657.60
  6. Step 6: Final answer
    x = 2,047.71

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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.