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Finding the Fourth Proportional to 2,210.52, 3,312.90 and 912.96

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Solution

The fourth proportional to 2,210.52, 3,312.90 and 912.96 is: 1,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.52 : 3,312.90 = 912.96 : x
  2. Step 2: Convert to fraction form
    2,210.52/3,312.90 = 912.96/x
  3. Step 3: Cross multiply
    2,210.52x = 3,312.90 × 912.96
  4. Step 4: Simplify right side
    2,210.52x = 3,024,545.18
  5. Step 5: Solve for x
    x = 3,024,545.18/2,210.52
  6. Step 6: Final answer
    x = 1,368.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.