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Finding the Fourth Proportional to 1,582.47, 2,372.36 and 609.26

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Solution

The fourth proportional to 1,582.47, 2,372.36 and 609.26 is: 913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.47 : 2,372.36 = 609.26 : x
  2. Step 2: Convert to fraction form
    1,582.47/2,372.36 = 609.26/x
  3. Step 3: Cross multiply
    1,582.47x = 2,372.36 × 609.26
  4. Step 4: Simplify right side
    1,582.47x = 1,445,369.15
  5. Step 5: Solve for x
    x = 1,445,369.15/1,582.47
  6. Step 6: Final answer
    x = 913.36

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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.