Home / 1,462.89-2,019.70-904.13

Finding the Fourth Proportional to 1,462.89, 2,019.70 and 904.13

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Solution

The fourth proportional to 1,462.89, 2,019.70 and 904.13 is: 1,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.89 : 2,019.70 = 904.13 : x
  2. Step 2: Convert to fraction form
    1,462.89/2,019.70 = 904.13/x
  3. Step 3: Cross multiply
    1,462.89x = 2,019.70 × 904.13
  4. Step 4: Simplify right side
    1,462.89x = 1,826,069.97
  5. Step 5: Solve for x
    x = 1,826,069.97/1,462.89
  6. Step 6: Final answer
    x = 1,248.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.