Home / 1,702.30-2,551.58-970.27

Finding the Fourth Proportional to 1,702.30, 2,551.58 and 970.27

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Solution

The fourth proportional to 1,702.30, 2,551.58 and 970.27 is: 1,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.30 : 2,551.58 = 970.27 : x
  2. Step 2: Convert to fraction form
    1,702.30/2,551.58 = 970.27/x
  3. Step 3: Cross multiply
    1,702.30x = 2,551.58 × 970.27
  4. Step 4: Simplify right side
    1,702.30x = 2,475,721.53
  5. Step 5: Solve for x
    x = 2,475,721.53/1,702.30
  6. Step 6: Final answer
    x = 1,454.34

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Why These Related Problems?

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