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Finding the Fourth Proportional to 1,549.18, 2,322.73 and 856.18

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Solution

The fourth proportional to 1,549.18, 2,322.73 and 856.18 is: 1,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.18 : 2,322.73 = 856.18 : x
  2. Step 2: Convert to fraction form
    1,549.18/2,322.73 = 856.18/x
  3. Step 3: Cross multiply
    1,549.18x = 2,322.73 × 856.18
  4. Step 4: Simplify right side
    1,549.18x = 1,988,674.97
  5. Step 5: Solve for x
    x = 1,988,674.97/1,549.18
  6. Step 6: Final answer
    x = 1,283.70

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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.