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Finding the Fourth Proportional to 3,135.48, 4,702.26 and 1,083

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Solution

The fourth proportional to 3,135.48, 4,702.26 and 1,083 is: 1,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.48 : 4,702.26 = 1,083 : x
  2. Step 2: Convert to fraction form
    3,135.48/4,702.26 = 1,083/x
  3. Step 3: Cross multiply
    3,135.48x = 4,702.26 × 1,083
  4. Step 4: Simplify right side
    3,135.48x = 5,092,547.58
  5. Step 5: Solve for x
    x = 5,092,547.58/3,135.48
  6. Step 6: Final answer
    x = 1,624.17

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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.