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Finding the Fourth Proportional to 1,734.48, 2,602.78 and 913.34

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Solution

The fourth proportional to 1,734.48, 2,602.78 and 913.34 is: 1,370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.48 : 2,602.78 = 913.34 : x
  2. Step 2: Convert to fraction form
    1,734.48/2,602.78 = 913.34/x
  3. Step 3: Cross multiply
    1,734.48x = 2,602.78 × 913.34
  4. Step 4: Simplify right side
    1,734.48x = 2,377,227.31
  5. Step 5: Solve for x
    x = 2,377,227.31/1,734.48
  6. Step 6: Final answer
    x = 1,370.57

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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.