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Finding the Fourth Proportional to 4,242.68, 6,363.66 and 1,164.68

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Solution

The fourth proportional to 4,242.68, 6,363.66 and 1,164.68 is: 1,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.68 : 6,363.66 = 1,164.68 : x
  2. Step 2: Convert to fraction form
    4,242.68/6,363.66 = 1,164.68/x
  3. Step 3: Cross multiply
    4,242.68x = 6,363.66 × 1,164.68
  4. Step 4: Simplify right side
    4,242.68x = 7,411,627.53
  5. Step 5: Solve for x
    x = 7,411,627.53/4,242.68
  6. Step 6: Final answer
    x = 1,746.92

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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.