Home / 1,746.04-2,618.22-513.16

Finding the Fourth Proportional to 1,746.04, 2,618.22 and 513.16

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Solution

The fourth proportional to 1,746.04, 2,618.22 and 513.16 is: 769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.04 : 2,618.22 = 513.16 : x
  2. Step 2: Convert to fraction form
    1,746.04/2,618.22 = 513.16/x
  3. Step 3: Cross multiply
    1,746.04x = 2,618.22 × 513.16
  4. Step 4: Simplify right side
    1,746.04x = 1,343,565.78
  5. Step 5: Solve for x
    x = 1,343,565.78/1,746.04
  6. Step 6: Final answer
    x = 769.49

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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.