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Finding the Fourth Proportional to 2,547.57, 3,520.16 and 1,963.16

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Solution

The fourth proportional to 2,547.57, 3,520.16 and 1,963.16 is: 2,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.57 : 3,520.16 = 1,963.16 : x
  2. Step 2: Convert to fraction form
    2,547.57/3,520.16 = 1,963.16/x
  3. Step 3: Cross multiply
    2,547.57x = 3,520.16 × 1,963.16
  4. Step 4: Simplify right side
    2,547.57x = 6,910,637.31
  5. Step 5: Solve for x
    x = 6,910,637.31/2,547.57
  6. Step 6: Final answer
    x = 2,712.64

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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.