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Finding the Fourth Proportional to 2,316.76, 3,475.47 and 673.31

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Solution

The fourth proportional to 2,316.76, 3,475.47 and 673.31 is: 1,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.76 : 3,475.47 = 673.31 : x
  2. Step 2: Convert to fraction form
    2,316.76/3,475.47 = 673.31/x
  3. Step 3: Cross multiply
    2,316.76x = 3,475.47 × 673.31
  4. Step 4: Simplify right side
    2,316.76x = 2,340,068.71
  5. Step 5: Solve for x
    x = 2,340,068.71/2,316.76
  6. Step 6: Final answer
    x = 1,010.06

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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.