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Finding the Fourth Proportional to 2,207.94, 3,312.18 and 975.90

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Solution

The fourth proportional to 2,207.94, 3,312.18 and 975.90 is: 1,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.94 : 3,312.18 = 975.90 : x
  2. Step 2: Convert to fraction form
    2,207.94/3,312.18 = 975.90/x
  3. Step 3: Cross multiply
    2,207.94x = 3,312.18 × 975.90
  4. Step 4: Simplify right side
    2,207.94x = 3,232,356.46
  5. Step 5: Solve for x
    x = 3,232,356.46/2,207.94
  6. Step 6: Final answer
    x = 1,463.97

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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.