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Finding the Fourth Proportional to 2,034.32, 2,805.93 and 1,966.58

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Solution

The fourth proportional to 2,034.32, 2,805.93 and 1,966.58 is: 2,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.32 : 2,805.93 = 1,966.58 : x
  2. Step 2: Convert to fraction form
    2,034.32/2,805.93 = 1,966.58/x
  3. Step 3: Cross multiply
    2,034.32x = 2,805.93 × 1,966.58
  4. Step 4: Simplify right side
    2,034.32x = 5,518,085.82
  5. Step 5: Solve for x
    x = 5,518,085.82/2,034.32
  6. Step 6: Final answer
    x = 2,712.50

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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.