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Finding the Fourth Proportional to 1,764.19, 2,434.57 and 967.53

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Solution

The fourth proportional to 1,764.19, 2,434.57 and 967.53 is: 1,335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.19 : 2,434.57 = 967.53 : x
  2. Step 2: Convert to fraction form
    1,764.19/2,434.57 = 967.53/x
  3. Step 3: Cross multiply
    1,764.19x = 2,434.57 × 967.53
  4. Step 4: Simplify right side
    1,764.19x = 2,355,519.51
  5. Step 5: Solve for x
    x = 2,355,519.51/1,764.19
  6. Step 6: Final answer
    x = 1,335.18

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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.