Home / 3,089-4,631.40-1,702.96

Finding the Fourth Proportional to 3,089, 4,631.40 and 1,702.96

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Solution

The fourth proportional to 3,089, 4,631.40 and 1,702.96 is: 2,553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089 : 4,631.40 = 1,702.96 : x
  2. Step 2: Convert to fraction form
    3,089/4,631.40 = 1,702.96/x
  3. Step 3: Cross multiply
    3,089x = 4,631.40 × 1,702.96
  4. Step 4: Simplify right side
    3,089x = 7,887,088.94
  5. Step 5: Solve for x
    x = 7,887,088.94/3,089
  6. Step 6: Final answer
    x = 2,553.28

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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.