Home / 2,307.68-3,461.46-1,009.16

Finding the Fourth Proportional to 2,307.68, 3,461.46 and 1,009.16

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Solution

The fourth proportional to 2,307.68, 3,461.46 and 1,009.16 is: 1,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.68 : 3,461.46 = 1,009.16 : x
  2. Step 2: Convert to fraction form
    2,307.68/3,461.46 = 1,009.16/x
  3. Step 3: Cross multiply
    2,307.68x = 3,461.46 × 1,009.16
  4. Step 4: Simplify right side
    2,307.68x = 3,493,166.97
  5. Step 5: Solve for x
    x = 3,493,166.97/2,307.68
  6. Step 6: Final answer
    x = 1,513.71

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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.