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Finding the Fourth Proportional to 1,582.68, 2,374.56 and 890.70

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Solution

The fourth proportional to 1,582.68, 2,374.56 and 890.70 is: 1,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.68 : 2,374.56 = 890.70 : x
  2. Step 2: Convert to fraction form
    1,582.68/2,374.56 = 890.70/x
  3. Step 3: Cross multiply
    1,582.68x = 2,374.56 × 890.70
  4. Step 4: Simplify right side
    1,582.68x = 2,115,016.14
  5. Step 5: Solve for x
    x = 2,115,016.14/1,582.68
  6. Step 6: Final answer
    x = 1,336.35

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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.