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Finding the Fourth Proportional to 1,585.17, 2,187.54 and 886.50

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Solution

The fourth proportional to 1,585.17, 2,187.54 and 886.50 is: 1,223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.17 : 2,187.54 = 886.50 : x
  2. Step 2: Convert to fraction form
    1,585.17/2,187.54 = 886.50/x
  3. Step 3: Cross multiply
    1,585.17x = 2,187.54 × 886.50
  4. Step 4: Simplify right side
    1,585.17x = 1,939,254.21
  5. Step 5: Solve for x
    x = 1,939,254.21/1,585.17
  6. Step 6: Final answer
    x = 1,223.37

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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.