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Finding the Fourth Proportional to 2,207.58, 3,312.17 and 975.11

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Solution

The fourth proportional to 2,207.58, 3,312.17 and 975.11 is: 1,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.58 : 3,312.17 = 975.11 : x
  2. Step 2: Convert to fraction form
    2,207.58/3,312.17 = 975.11/x
  3. Step 3: Cross multiply
    2,207.58x = 3,312.17 × 975.11
  4. Step 4: Simplify right side
    2,207.58x = 3,229,737.51
  5. Step 5: Solve for x
    x = 3,229,737.51/2,207.58
  6. Step 6: Final answer
    x = 1,463.02

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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.