Home / 1,657.10-2,482.05-1,006.70

Finding the Fourth Proportional to 1,657.10, 2,482.05 and 1,006.70

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Solution

The fourth proportional to 1,657.10, 2,482.05 and 1,006.70 is: 1,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.10 : 2,482.05 = 1,006.70 : x
  2. Step 2: Convert to fraction form
    1,657.10/2,482.05 = 1,006.70/x
  3. Step 3: Cross multiply
    1,657.10x = 2,482.05 × 1,006.70
  4. Step 4: Simplify right side
    1,657.10x = 2,498,679.74
  5. Step 5: Solve for x
    x = 2,498,679.74/1,657.10
  6. Step 6: Final answer
    x = 1,507.86

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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.