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Finding the Fourth Proportional to 1,875.88, 2,815.16 and 902.52

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Solution

The fourth proportional to 1,875.88, 2,815.16 and 902.52 is: 1,354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.88 : 2,815.16 = 902.52 : x
  2. Step 2: Convert to fraction form
    1,875.88/2,815.16 = 902.52/x
  3. Step 3: Cross multiply
    1,875.88x = 2,815.16 × 902.52
  4. Step 4: Simplify right side
    1,875.88x = 2,540,738.20
  5. Step 5: Solve for x
    x = 2,540,738.20/1,875.88
  6. Step 6: Final answer
    x = 1,354.42

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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.