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Finding the Fourth Proportional to 2,563.54, 3,547.83 and 2,502.22

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Solution

The fourth proportional to 2,563.54, 3,547.83 and 2,502.22 is: 3,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.54 : 3,547.83 = 2,502.22 : x
  2. Step 2: Convert to fraction form
    2,563.54/3,547.83 = 2,502.22/x
  3. Step 3: Cross multiply
    2,563.54x = 3,547.83 × 2,502.22
  4. Step 4: Simplify right side
    2,563.54x = 8,877,451.18
  5. Step 5: Solve for x
    x = 8,877,451.18/2,563.54
  6. Step 6: Final answer
    x = 3,462.97

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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.