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Finding the Fourth Proportional to 2,139.57, 3,210.03 and 678.74

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Solution

The fourth proportional to 2,139.57, 3,210.03 and 678.74 is: 1,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.57 : 3,210.03 = 678.74 : x
  2. Step 2: Convert to fraction form
    2,139.57/3,210.03 = 678.74/x
  3. Step 3: Cross multiply
    2,139.57x = 3,210.03 × 678.74
  4. Step 4: Simplify right side
    2,139.57x = 2,178,759.71
  5. Step 5: Solve for x
    x = 2,178,759.71/2,139.57
  6. Step 6: Final answer
    x = 1,018.32

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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.