Home / 1,407.10-2,110.65-969.70

Finding the Fourth Proportional to 1,407.10, 2,110.65 and 969.70

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Solution

The fourth proportional to 1,407.10, 2,110.65 and 969.70 is: 1,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.10 : 2,110.65 = 969.70 : x
  2. Step 2: Convert to fraction form
    1,407.10/2,110.65 = 969.70/x
  3. Step 3: Cross multiply
    1,407.10x = 2,110.65 × 969.70
  4. Step 4: Simplify right side
    1,407.10x = 2,046,697.31
  5. Step 5: Solve for x
    x = 2,046,697.31/1,407.10
  6. Step 6: Final answer
    x = 1,454.55

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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.