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Finding the Fourth Proportional to 2,774.81, 4,160.16 and 1,312.25

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Solution

The fourth proportional to 2,774.81, 4,160.16 and 1,312.25 is: 1,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.81 : 4,160.16 = 1,312.25 : x
  2. Step 2: Convert to fraction form
    2,774.81/4,160.16 = 1,312.25/x
  3. Step 3: Cross multiply
    2,774.81x = 4,160.16 × 1,312.25
  4. Step 4: Simplify right side
    2,774.81x = 5,459,169.96
  5. Step 5: Solve for x
    x = 5,459,169.96/2,774.81
  6. Step 6: Final answer
    x = 1,967.41

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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.