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Finding the Fourth Proportional to 2,901.76, 4,005.77 and 1,854.43

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Solution

The fourth proportional to 2,901.76, 4,005.77 and 1,854.43 is: 2,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.76 : 4,005.77 = 1,854.43 : x
  2. Step 2: Convert to fraction form
    2,901.76/4,005.77 = 1,854.43/x
  3. Step 3: Cross multiply
    2,901.76x = 4,005.77 × 1,854.43
  4. Step 4: Simplify right side
    2,901.76x = 7,428,400.77
  5. Step 5: Solve for x
    x = 7,428,400.77/2,901.76
  6. Step 6: Final answer
    x = 2,559.97

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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.