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Finding the Fourth Proportional to 1,438.88, 1,985.92 and 942.88

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Solution

The fourth proportional to 1,438.88, 1,985.92 and 942.88 is: 1,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.88 : 1,985.92 = 942.88 : x
  2. Step 2: Convert to fraction form
    1,438.88/1,985.92 = 942.88/x
  3. Step 3: Cross multiply
    1,438.88x = 1,985.92 × 942.88
  4. Step 4: Simplify right side
    1,438.88x = 1,872,484.25
  5. Step 5: Solve for x
    x = 1,872,484.25/1,438.88
  6. Step 6: Final answer
    x = 1,301.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.