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Finding the Fourth Proportional to 1,586.94, 2,378.36 and 1,242.49

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Solution

The fourth proportional to 1,586.94, 2,378.36 and 1,242.49 is: 1,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.94 : 2,378.36 = 1,242.49 : x
  2. Step 2: Convert to fraction form
    1,586.94/2,378.36 = 1,242.49/x
  3. Step 3: Cross multiply
    1,586.94x = 2,378.36 × 1,242.49
  4. Step 4: Simplify right side
    1,586.94x = 2,955,090.14
  5. Step 5: Solve for x
    x = 2,955,090.14/1,586.94
  6. Step 6: Final answer
    x = 1,862.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.