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Finding the Fourth Proportional to 2,464.74, 3,700.35 and 2,260.98

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Solution

The fourth proportional to 2,464.74, 3,700.35 and 2,260.98 is: 3,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.74 : 3,700.35 = 2,260.98 : x
  2. Step 2: Convert to fraction form
    2,464.74/3,700.35 = 2,260.98/x
  3. Step 3: Cross multiply
    2,464.74x = 3,700.35 × 2,260.98
  4. Step 4: Simplify right side
    2,464.74x = 8,366,417.34
  5. Step 5: Solve for x
    x = 8,366,417.34/2,464.74
  6. Step 6: Final answer
    x = 3,394.44

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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.