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Finding the Fourth Proportional to 1,619.73, 2,235.14 and 956.34

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Solution

The fourth proportional to 1,619.73, 2,235.14 and 956.34 is: 1,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.73 : 2,235.14 = 956.34 : x
  2. Step 2: Convert to fraction form
    1,619.73/2,235.14 = 956.34/x
  3. Step 3: Cross multiply
    1,619.73x = 2,235.14 × 956.34
  4. Step 4: Simplify right side
    1,619.73x = 2,137,549.01
  5. Step 5: Solve for x
    x = 2,137,549.01/1,619.73
  6. Step 6: Final answer
    x = 1,319.69

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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.