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Finding the Fourth Proportional to 1,703.59, 2,350.87 and 957.58

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Solution

The fourth proportional to 1,703.59, 2,350.87 and 957.58 is: 1,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.59 : 2,350.87 = 957.58 : x
  2. Step 2: Convert to fraction form
    1,703.59/2,350.87 = 957.58/x
  3. Step 3: Cross multiply
    1,703.59x = 2,350.87 × 957.58
  4. Step 4: Simplify right side
    1,703.59x = 2,251,146.09
  5. Step 5: Solve for x
    x = 2,251,146.09/1,703.59
  6. Step 6: Final answer
    x = 1,321.41

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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.