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Finding the Fourth Proportional to 2,044.40, 3,070.20 and 1,497.20

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Solution

The fourth proportional to 2,044.40, 3,070.20 and 1,497.20 is: 2,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.40 : 3,070.20 = 1,497.20 : x
  2. Step 2: Convert to fraction form
    2,044.40/3,070.20 = 1,497.20/x
  3. Step 3: Cross multiply
    2,044.40x = 3,070.20 × 1,497.20
  4. Step 4: Simplify right side
    2,044.40x = 4,596,703.44
  5. Step 5: Solve for x
    x = 4,596,703.44/2,044.40
  6. Step 6: Final answer
    x = 2,248.44

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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.