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Finding the Fourth Proportional to 2,122.88, 2,926.40 and 1,500.80

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Solution

The fourth proportional to 2,122.88, 2,926.40 and 1,500.80 is: 2,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.88 : 2,926.40 = 1,500.80 : x
  2. Step 2: Convert to fraction form
    2,122.88/2,926.40 = 1,500.80/x
  3. Step 3: Cross multiply
    2,122.88x = 2,926.40 × 1,500.80
  4. Step 4: Simplify right side
    2,122.88x = 4,391,941.12
  5. Step 5: Solve for x
    x = 4,391,941.12/2,122.88
  6. Step 6: Final answer
    x = 2,068.86

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