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Finding the Fourth Proportional to 1,586.65, 2,189.58 and 888.02

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Solution

The fourth proportional to 1,586.65, 2,189.58 and 888.02 is: 1,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.65 : 2,189.58 = 888.02 : x
  2. Step 2: Convert to fraction form
    1,586.65/2,189.58 = 888.02/x
  3. Step 3: Cross multiply
    1,586.65x = 2,189.58 × 888.02
  4. Step 4: Simplify right side
    1,586.65x = 1,944,396.31
  5. Step 5: Solve for x
    x = 1,944,396.31/1,586.65
  6. Step 6: Final answer
    x = 1,225.47

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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.