Home / 2,407.16-3,611.10-946.28

Finding the Fourth Proportional to 2,407.16, 3,611.10 and 946.28

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Solution

The fourth proportional to 2,407.16, 3,611.10 and 946.28 is: 1,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.16 : 3,611.10 = 946.28 : x
  2. Step 2: Convert to fraction form
    2,407.16/3,611.10 = 946.28/x
  3. Step 3: Cross multiply
    2,407.16x = 3,611.10 × 946.28
  4. Step 4: Simplify right side
    2,407.16x = 3,417,111.71
  5. Step 5: Solve for x
    x = 3,417,111.71/2,407.16
  6. Step 6: Final answer
    x = 1,419.56

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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.