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Finding the Fourth Proportional to 1,581.90, 2,182.71 and 883.14

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Solution

The fourth proportional to 1,581.90, 2,182.71 and 883.14 is: 1,218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.90 : 2,182.71 = 883.14 : x
  2. Step 2: Convert to fraction form
    1,581.90/2,182.71 = 883.14/x
  3. Step 3: Cross multiply
    1,581.90x = 2,182.71 × 883.14
  4. Step 4: Simplify right side
    1,581.90x = 1,927,638.51
  5. Step 5: Solve for x
    x = 1,927,638.51/1,581.90
  6. Step 6: Final answer
    x = 1,218.56

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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.