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Finding the Fourth Proportional to 2,948.02, 4,422.75 and 1,000.24

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Solution

The fourth proportional to 2,948.02, 4,422.75 and 1,000.24 is: 1,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.02 : 4,422.75 = 1,000.24 : x
  2. Step 2: Convert to fraction form
    2,948.02/4,422.75 = 1,000.24/x
  3. Step 3: Cross multiply
    2,948.02x = 4,422.75 × 1,000.24
  4. Step 4: Simplify right side
    2,948.02x = 4,423,811.46
  5. Step 5: Solve for x
    x = 4,423,811.46/2,948.02
  6. Step 6: Final answer
    x = 1,500.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.