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Finding the Fourth Proportional to 2,948.01, 4,070.88 and 2,155.83

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Solution

The fourth proportional to 2,948.01, 4,070.88 and 2,155.83 is: 2,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.01 : 4,070.88 = 2,155.83 : x
  2. Step 2: Convert to fraction form
    2,948.01/4,070.88 = 2,155.83/x
  3. Step 3: Cross multiply
    2,948.01x = 4,070.88 × 2,155.83
  4. Step 4: Simplify right side
    2,948.01x = 8,776,125.23
  5. Step 5: Solve for x
    x = 8,776,125.23/2,948.01
  6. Step 6: Final answer
    x = 2,976.97

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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.