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Finding the Fourth Proportional to 2,423.57, 3,634.47 and 1,037.00

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Solution

The fourth proportional to 2,423.57, 3,634.47 and 1,037.00 is: 1,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.57 : 3,634.47 = 1,037.00 : x
  2. Step 2: Convert to fraction form
    2,423.57/3,634.47 = 1,037.00/x
  3. Step 3: Cross multiply
    2,423.57x = 3,634.47 × 1,037.00
  4. Step 4: Simplify right side
    2,423.57x = 3,768,927.22
  5. Step 5: Solve for x
    x = 3,768,927.22/2,423.57
  6. Step 6: Final answer
    x = 1,555.12

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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.