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Finding the Fourth Proportional to 3,143.60, 4,715.40 and 835.04

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Solution

The fourth proportional to 3,143.60, 4,715.40 and 835.04 is: 1,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.60 : 4,715.40 = 835.04 : x
  2. Step 2: Convert to fraction form
    3,143.60/4,715.40 = 835.04/x
  3. Step 3: Cross multiply
    3,143.60x = 4,715.40 × 835.04
  4. Step 4: Simplify right side
    3,143.60x = 3,937,547.62
  5. Step 5: Solve for x
    x = 3,937,547.62/3,143.60
  6. Step 6: Final answer
    x = 1,252.56

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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.