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Finding the Fourth Proportional to 1,581.48, 2,182.02 and 882.84

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Solution

The fourth proportional to 1,581.48, 2,182.02 and 882.84 is: 1,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.48 : 2,182.02 = 882.84 : x
  2. Step 2: Convert to fraction form
    1,581.48/2,182.02 = 882.84/x
  3. Step 3: Cross multiply
    1,581.48x = 2,182.02 × 882.84
  4. Step 4: Simplify right side
    1,581.48x = 1,926,374.54
  5. Step 5: Solve for x
    x = 1,926,374.54/1,581.48
  6. Step 6: Final answer
    x = 1,218.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.