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Finding the Fourth Proportional to 2,570.80, 3,545.64 and 1,862.74

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Solution

The fourth proportional to 2,570.80, 3,545.64 and 1,862.74 is: 2,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.80 : 3,545.64 = 1,862.74 : x
  2. Step 2: Convert to fraction form
    2,570.80/3,545.64 = 1,862.74/x
  3. Step 3: Cross multiply
    2,570.80x = 3,545.64 × 1,862.74
  4. Step 4: Simplify right side
    2,570.80x = 6,604,605.45
  5. Step 5: Solve for x
    x = 6,604,605.45/2,570.80
  6. Step 6: Final answer
    x = 2,569.09

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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.