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Finding the Fourth Proportional to 2,132.99, 3,194.67 and 1,038.13

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Solution

The fourth proportional to 2,132.99, 3,194.67 and 1,038.13 is: 1,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.99 : 3,194.67 = 1,038.13 : x
  2. Step 2: Convert to fraction form
    2,132.99/3,194.67 = 1,038.13/x
  3. Step 3: Cross multiply
    2,132.99x = 3,194.67 × 1,038.13
  4. Step 4: Simplify right side
    2,132.99x = 3,316,482.77
  5. Step 5: Solve for x
    x = 3,316,482.77/2,132.99
  6. Step 6: Final answer
    x = 1,554.85

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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.