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Finding the Fourth Proportional to 1,585.60, 2,188.92 and 1,460.68

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Solution

The fourth proportional to 1,585.60, 2,188.92 and 1,460.68 is: 2,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.60 : 2,188.92 = 1,460.68 : x
  2. Step 2: Convert to fraction form
    1,585.60/2,188.92 = 1,460.68/x
  3. Step 3: Cross multiply
    1,585.60x = 2,188.92 × 1,460.68
  4. Step 4: Simplify right side
    1,585.60x = 3,197,311.67
  5. Step 5: Solve for x
    x = 3,197,311.67/1,585.60
  6. Step 6: Final answer
    x = 2,016.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.