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Finding the Fourth Proportional to 1,862.80, 2,569.35 and 1,232.98

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Solution

The fourth proportional to 1,862.80, 2,569.35 and 1,232.98 is: 1,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.80 : 2,569.35 = 1,232.98 : x
  2. Step 2: Convert to fraction form
    1,862.80/2,569.35 = 1,232.98/x
  3. Step 3: Cross multiply
    1,862.80x = 2,569.35 × 1,232.98
  4. Step 4: Simplify right side
    1,862.80x = 3,167,957.16
  5. Step 5: Solve for x
    x = 3,167,957.16/1,862.80
  6. Step 6: Final answer
    x = 1,700.64

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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.