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Finding the Fourth Proportional to 1,739.69, 2,400.78 and 953.74

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Solution

The fourth proportional to 1,739.69, 2,400.78 and 953.74 is: 1,316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.69 : 2,400.78 = 953.74 : x
  2. Step 2: Convert to fraction form
    1,739.69/2,400.78 = 953.74/x
  3. Step 3: Cross multiply
    1,739.69x = 2,400.78 × 953.74
  4. Step 4: Simplify right side
    1,739.69x = 2,289,719.92
  5. Step 5: Solve for x
    x = 2,289,719.92/1,739.69
  6. Step 6: Final answer
    x = 1,316.17

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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.