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Finding the Fourth Proportional to 1,582.85, 2,374.68 and 608.69

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Solution

The fourth proportional to 1,582.85, 2,374.68 and 608.69 is: 913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.85 : 2,374.68 = 608.69 : x
  2. Step 2: Convert to fraction form
    1,582.85/2,374.68 = 608.69/x
  3. Step 3: Cross multiply
    1,582.85x = 2,374.68 × 608.69
  4. Step 4: Simplify right side
    1,582.85x = 1,445,443.97
  5. Step 5: Solve for x
    x = 1,445,443.97/1,582.85
  6. Step 6: Final answer
    x = 913.19

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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.