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Finding the Fourth Proportional to 2,775.65, 4,160.70 and 1,312.20

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Solution

The fourth proportional to 2,775.65, 4,160.70 and 1,312.20 is: 1,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.65 : 4,160.70 = 1,312.20 : x
  2. Step 2: Convert to fraction form
    2,775.65/4,160.70 = 1,312.20/x
  3. Step 3: Cross multiply
    2,775.65x = 4,160.70 × 1,312.20
  4. Step 4: Simplify right side
    2,775.65x = 5,459,670.54
  5. Step 5: Solve for x
    x = 5,459,670.54/2,775.65
  6. Step 6: Final answer
    x = 1,966.99

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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.