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Finding the Fourth Proportional to 1,583.22, 2,374.08 and 925.28

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Solution

The fourth proportional to 1,583.22, 2,374.08 and 925.28 is: 1,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.22 : 2,374.08 = 925.28 : x
  2. Step 2: Convert to fraction form
    1,583.22/2,374.08 = 925.28/x
  3. Step 3: Cross multiply
    1,583.22x = 2,374.08 × 925.28
  4. Step 4: Simplify right side
    1,583.22x = 2,196,684.12
  5. Step 5: Solve for x
    x = 2,196,684.12/1,583.22
  6. Step 6: Final answer
    x = 1,387.48

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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.