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Finding the Fourth Proportional to 1,733.89, 2,598.43 and 952.95

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Solution

The fourth proportional to 1,733.89, 2,598.43 and 952.95 is: 1,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.89 : 2,598.43 = 952.95 : x
  2. Step 2: Convert to fraction form
    1,733.89/2,598.43 = 952.95/x
  3. Step 3: Cross multiply
    1,733.89x = 2,598.43 × 952.95
  4. Step 4: Simplify right side
    1,733.89x = 2,476,168.40
  5. Step 5: Solve for x
    x = 2,476,168.40/1,733.89
  6. Step 6: Final answer
    x = 1,428.10

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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.