Home / 1,580.30-2,370.28-702.82

Finding the Fourth Proportional to 1,580.30, 2,370.28 and 702.82

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Solution

The fourth proportional to 1,580.30, 2,370.28 and 702.82 is: 1,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.30 : 2,370.28 = 702.82 : x
  2. Step 2: Convert to fraction form
    1,580.30/2,370.28 = 702.82/x
  3. Step 3: Cross multiply
    1,580.30x = 2,370.28 × 702.82
  4. Step 4: Simplify right side
    1,580.30x = 1,665,880.19
  5. Step 5: Solve for x
    x = 1,665,880.19/1,580.30
  6. Step 6: Final answer
    x = 1,054.15

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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.