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Finding the Fourth Proportional to 2,774.66, 4,159.08 and 1,312.07

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Solution

The fourth proportional to 2,774.66, 4,159.08 and 1,312.07 is: 1,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.66 : 4,159.08 = 1,312.07 : x
  2. Step 2: Convert to fraction form
    2,774.66/4,159.08 = 1,312.07/x
  3. Step 3: Cross multiply
    2,774.66x = 4,159.08 × 1,312.07
  4. Step 4: Simplify right side
    2,774.66x = 5,456,983.30
  5. Step 5: Solve for x
    x = 5,456,983.30/2,774.66
  6. Step 6: Final answer
    x = 1,966.72

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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.