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Finding the Fourth Proportional to 2,077.95, 2,866.80 and 1,545.51

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Solution

The fourth proportional to 2,077.95, 2,866.80 and 1,545.51 is: 2,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.95 : 2,866.80 = 1,545.51 : x
  2. Step 2: Convert to fraction form
    2,077.95/2,866.80 = 1,545.51/x
  3. Step 3: Cross multiply
    2,077.95x = 2,866.80 × 1,545.51
  4. Step 4: Simplify right side
    2,077.95x = 4,430,668.07
  5. Step 5: Solve for x
    x = 4,430,668.07/2,077.95
  6. Step 6: Final answer
    x = 2,132.23

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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.