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Finding the Fourth Proportional to 2,902.70, 4,354.80 and 1,258.87

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Solution

The fourth proportional to 2,902.70, 4,354.80 and 1,258.87 is: 1,888.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.70 : 4,354.80 = 1,258.87 : x
  2. Step 2: Convert to fraction form
    2,902.70/4,354.80 = 1,258.87/x
  3. Step 3: Cross multiply
    2,902.70x = 4,354.80 × 1,258.87
  4. Step 4: Simplify right side
    2,902.70x = 5,482,127.08
  5. Step 5: Solve for x
    x = 5,482,127.08/2,902.70
  6. Step 6: Final answer
    x = 1,888.63

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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.