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Finding the Fourth Proportional to 2,387.43, 3,574.89 and 1,834.00

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Solution

The fourth proportional to 2,387.43, 3,574.89 and 1,834.00 is: 2,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.43 : 3,574.89 = 1,834.00 : x
  2. Step 2: Convert to fraction form
    2,387.43/3,574.89 = 1,834.00/x
  3. Step 3: Cross multiply
    2,387.43x = 3,574.89 × 1,834.00
  4. Step 4: Simplify right side
    2,387.43x = 6,556,339.32
  5. Step 5: Solve for x
    x = 6,556,339.32/2,387.43
  6. Step 6: Final answer
    x = 2,746.19

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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.