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Finding the Fourth Proportional to 2,686.98, 4,030.71 and 1,043.40

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Solution

The fourth proportional to 2,686.98, 4,030.71 and 1,043.40 is: 1,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.98 : 4,030.71 = 1,043.40 : x
  2. Step 2: Convert to fraction form
    2,686.98/4,030.71 = 1,043.40/x
  3. Step 3: Cross multiply
    2,686.98x = 4,030.71 × 1,043.40
  4. Step 4: Simplify right side
    2,686.98x = 4,205,642.81
  5. Step 5: Solve for x
    x = 4,205,642.81/2,686.98
  6. Step 6: Final answer
    x = 1,565.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.