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Finding the Fourth Proportional to 1,744.76, 2,407.77 and 948.07

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Solution

The fourth proportional to 1,744.76, 2,407.77 and 948.07 is: 1,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.76 : 2,407.77 = 948.07 : x
  2. Step 2: Convert to fraction form
    1,744.76/2,407.77 = 948.07/x
  3. Step 3: Cross multiply
    1,744.76x = 2,407.77 × 948.07
  4. Step 4: Simplify right side
    1,744.76x = 2,282,734.50
  5. Step 5: Solve for x
    x = 2,282,734.50/1,744.76
  6. Step 6: Final answer
    x = 1,308.34

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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.