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Finding the Fourth Proportional to 2,230.24, 3,070.80 and 1,897.92

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Solution

The fourth proportional to 2,230.24, 3,070.80 and 1,897.92 is: 2,613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.24 : 3,070.80 = 1,897.92 : x
  2. Step 2: Convert to fraction form
    2,230.24/3,070.80 = 1,897.92/x
  3. Step 3: Cross multiply
    2,230.24x = 3,070.80 × 1,897.92
  4. Step 4: Simplify right side
    2,230.24x = 5,828,132.74
  5. Step 5: Solve for x
    x = 5,828,132.74/2,230.24
  6. Step 6: Final answer
    x = 2,613.23

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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.