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Finding the Fourth Proportional to 1,582.32, 2,372.04 and 716.28

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Solution

The fourth proportional to 1,582.32, 2,372.04 and 716.28 is: 1,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.32 : 2,372.04 = 716.28 : x
  2. Step 2: Convert to fraction form
    1,582.32/2,372.04 = 716.28/x
  3. Step 3: Cross multiply
    1,582.32x = 2,372.04 × 716.28
  4. Step 4: Simplify right side
    1,582.32x = 1,699,044.81
  5. Step 5: Solve for x
    x = 1,699,044.81/1,582.32
  6. Step 6: Final answer
    x = 1,073.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.