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Finding the Fourth Proportional to 1,586.02, 2,188.33 and 922.47

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Solution

The fourth proportional to 1,586.02, 2,188.33 and 922.47 is: 1,272.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.02 : 2,188.33 = 922.47 : x
  2. Step 2: Convert to fraction form
    1,586.02/2,188.33 = 922.47/x
  3. Step 3: Cross multiply
    1,586.02x = 2,188.33 × 922.47
  4. Step 4: Simplify right side
    1,586.02x = 2,018,664.16
  5. Step 5: Solve for x
    x = 2,018,664.16/1,586.02
  6. Step 6: Final answer
    x = 1,272.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.