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Finding the Fourth Proportional to 3,134.67, 4,702.34 and 1,054.59

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Solution

The fourth proportional to 3,134.67, 4,702.34 and 1,054.59 is: 1,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.67 : 4,702.34 = 1,054.59 : x
  2. Step 2: Convert to fraction form
    3,134.67/4,702.34 = 1,054.59/x
  3. Step 3: Cross multiply
    3,134.67x = 4,702.34 × 1,054.59
  4. Step 4: Simplify right side
    3,134.67x = 4,959,040.74
  5. Step 5: Solve for x
    x = 4,959,040.74/3,134.67
  6. Step 6: Final answer
    x = 1,582.00

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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.