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Finding the Fourth Proportional to 2,473.60, 3,705.42 and 1,155.53

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Solution

The fourth proportional to 2,473.60, 3,705.42 and 1,155.53 is: 1,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.60 : 3,705.42 = 1,155.53 : x
  2. Step 2: Convert to fraction form
    2,473.60/3,705.42 = 1,155.53/x
  3. Step 3: Cross multiply
    2,473.60x = 3,705.42 × 1,155.53
  4. Step 4: Simplify right side
    2,473.60x = 4,281,705.45
  5. Step 5: Solve for x
    x = 4,281,705.45/2,473.60
  6. Step 6: Final answer
    x = 1,730.96

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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.