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Finding the Fourth Proportional to 3,116.68, 4,675.02 and 1,064.68

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Solution

The fourth proportional to 3,116.68, 4,675.02 and 1,064.68 is: 1,597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.68 : 4,675.02 = 1,064.68 : x
  2. Step 2: Convert to fraction form
    3,116.68/4,675.02 = 1,064.68/x
  3. Step 3: Cross multiply
    3,116.68x = 4,675.02 × 1,064.68
  4. Step 4: Simplify right side
    3,116.68x = 4,977,400.29
  5. Step 5: Solve for x
    x = 4,977,400.29/3,116.68
  6. Step 6: Final answer
    x = 1,597.02

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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.