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Finding the Fourth Proportional to 1,472.92, 2,210.32 and 824.08

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Solution

The fourth proportional to 1,472.92, 2,210.32 and 824.08 is: 1,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.92 : 2,210.32 = 824.08 : x
  2. Step 2: Convert to fraction form
    1,472.92/2,210.32 = 824.08/x
  3. Step 3: Cross multiply
    1,472.92x = 2,210.32 × 824.08
  4. Step 4: Simplify right side
    1,472.92x = 1,821,480.51
  5. Step 5: Solve for x
    x = 1,821,480.51/1,472.92
  6. Step 6: Final answer
    x = 1,236.65

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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.