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Finding the Fourth Proportional to 1,549.01, 2,324.55 and 856.19

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Solution

The fourth proportional to 1,549.01, 2,324.55 and 856.19 is: 1,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.01 : 2,324.55 = 856.19 : x
  2. Step 2: Convert to fraction form
    1,549.01/2,324.55 = 856.19/x
  3. Step 3: Cross multiply
    1,549.01x = 2,324.55 × 856.19
  4. Step 4: Simplify right side
    1,549.01x = 1,990,256.46
  5. Step 5: Solve for x
    x = 1,990,256.46/1,549.01
  6. Step 6: Final answer
    x = 1,284.86

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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.