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Finding the Fourth Proportional to 2,862.64, 4,294.05 and 988.51

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Solution

The fourth proportional to 2,862.64, 4,294.05 and 988.51 is: 1,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.64 : 4,294.05 = 988.51 : x
  2. Step 2: Convert to fraction form
    2,862.64/4,294.05 = 988.51/x
  3. Step 3: Cross multiply
    2,862.64x = 4,294.05 × 988.51
  4. Step 4: Simplify right side
    2,862.64x = 4,244,711.37
  5. Step 5: Solve for x
    x = 4,244,711.37/2,862.64
  6. Step 6: Final answer
    x = 1,482.80

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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.