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Finding the Fourth Proportional to 2,088.52, 3,132.74 and 549.52

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Solution

The fourth proportional to 2,088.52, 3,132.74 and 549.52 is: 824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.52 : 3,132.74 = 549.52 : x
  2. Step 2: Convert to fraction form
    2,088.52/3,132.74 = 549.52/x
  3. Step 3: Cross multiply
    2,088.52x = 3,132.74 × 549.52
  4. Step 4: Simplify right side
    2,088.52x = 1,721,503.28
  5. Step 5: Solve for x
    x = 1,721,503.28/2,088.52
  6. Step 6: Final answer
    x = 824.27

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1.5x scale

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.