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Finding the Fourth Proportional to 1,867.32, 2,578.70 and 1,400.76

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Solution

The fourth proportional to 1,867.32, 2,578.70 and 1,400.76 is: 1,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.32 : 2,578.70 = 1,400.76 : x
  2. Step 2: Convert to fraction form
    1,867.32/2,578.70 = 1,400.76/x
  3. Step 3: Cross multiply
    1,867.32x = 2,578.70 × 1,400.76
  4. Step 4: Simplify right side
    1,867.32x = 3,612,139.81
  5. Step 5: Solve for x
    x = 3,612,139.81/1,867.32
  6. Step 6: Final answer
    x = 1,934.40

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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.