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Finding the Fourth Proportional to 2,316.74, 3,475.76 and 983.21

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Solution

The fourth proportional to 2,316.74, 3,475.76 and 983.21 is: 1,475.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.74 : 3,475.76 = 983.21 : x
  2. Step 2: Convert to fraction form
    2,316.74/3,475.76 = 983.21/x
  3. Step 3: Cross multiply
    2,316.74x = 3,475.76 × 983.21
  4. Step 4: Simplify right side
    2,316.74x = 3,417,379.69
  5. Step 5: Solve for x
    x = 3,417,379.69/2,316.74
  6. Step 6: Final answer
    x = 1,475.08

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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.