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Finding the Fourth Proportional to 1,585.70, 2,188 and 922.58

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Solution

The fourth proportional to 1,585.70, 2,188 and 922.58 is: 1,273.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.70 : 2,188 = 922.58 : x
  2. Step 2: Convert to fraction form
    1,585.70/2,188 = 922.58/x
  3. Step 3: Cross multiply
    1,585.70x = 2,188 × 922.58
  4. Step 4: Simplify right side
    1,585.70x = 2,018,605.04
  5. Step 5: Solve for x
    x = 2,018,605.04/1,585.70
  6. Step 6: Final answer
    x = 1,273.01

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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.