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Finding the Fourth Proportional to 1,585.20, 2,374.77 and 889.76

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Solution

The fourth proportional to 1,585.20, 2,374.77 and 889.76 is: 1,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.20 : 2,374.77 = 889.76 : x
  2. Step 2: Convert to fraction form
    1,585.20/2,374.77 = 889.76/x
  3. Step 3: Cross multiply
    1,585.20x = 2,374.77 × 889.76
  4. Step 4: Simplify right side
    1,585.20x = 2,112,975.72
  5. Step 5: Solve for x
    x = 2,112,975.72/1,585.20
  6. Step 6: Final answer
    x = 1,332.94

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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.