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Finding the Fourth Proportional to 2,134.66, 2,946.30 and 1,387.32

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Solution

The fourth proportional to 2,134.66, 2,946.30 and 1,387.32 is: 1,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.66 : 2,946.30 = 1,387.32 : x
  2. Step 2: Convert to fraction form
    2,134.66/2,946.30 = 1,387.32/x
  3. Step 3: Cross multiply
    2,134.66x = 2,946.30 × 1,387.32
  4. Step 4: Simplify right side
    2,134.66x = 4,087,460.92
  5. Step 5: Solve for x
    x = 4,087,460.92/2,134.66
  6. Step 6: Final answer
    x = 1,914.81

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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.