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Finding the Fourth Proportional to 1,587.65, 2,191.06 and 879.52

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Solution

The fourth proportional to 1,587.65, 2,191.06 and 879.52 is: 1,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.65 : 2,191.06 = 879.52 : x
  2. Step 2: Convert to fraction form
    1,587.65/2,191.06 = 879.52/x
  3. Step 3: Cross multiply
    1,587.65x = 2,191.06 × 879.52
  4. Step 4: Simplify right side
    1,587.65x = 1,927,079.23
  5. Step 5: Solve for x
    x = 1,927,079.23/1,587.65
  6. Step 6: Final answer
    x = 1,213.80

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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.