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Finding the Fourth Proportional to 2,624.95, 3,937.43 and 1,064.66

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Solution

The fourth proportional to 2,624.95, 3,937.43 and 1,064.66 is: 1,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.95 : 3,937.43 = 1,064.66 : x
  2. Step 2: Convert to fraction form
    2,624.95/3,937.43 = 1,064.66/x
  3. Step 3: Cross multiply
    2,624.95x = 3,937.43 × 1,064.66
  4. Step 4: Simplify right side
    2,624.95x = 4,192,036.73
  5. Step 5: Solve for x
    x = 4,192,036.73/2,624.95
  6. Step 6: Final answer
    x = 1,597.00

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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.