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Finding the Fourth Proportional to 2,399.78, 3,314.03 and 1,870.13

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Solution

The fourth proportional to 2,399.78, 3,314.03 and 1,870.13 is: 2,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.78 : 3,314.03 = 1,870.13 : x
  2. Step 2: Convert to fraction form
    2,399.78/3,314.03 = 1,870.13/x
  3. Step 3: Cross multiply
    2,399.78x = 3,314.03 × 1,870.13
  4. Step 4: Simplify right side
    2,399.78x = 6,197,641.00
  5. Step 5: Solve for x
    x = 6,197,641.00/2,399.78
  6. Step 6: Final answer
    x = 2,582.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.