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Finding the Fourth Proportional to 2,332.86, 3,219 and 1,448.34

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Solution

The fourth proportional to 2,332.86, 3,219 and 1,448.34 is: 1,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.86 : 3,219 = 1,448.34 : x
  2. Step 2: Convert to fraction form
    2,332.86/3,219 = 1,448.34/x
  3. Step 3: Cross multiply
    2,332.86x = 3,219 × 1,448.34
  4. Step 4: Simplify right side
    2,332.86x = 4,662,206.46
  5. Step 5: Solve for x
    x = 4,662,206.46/2,332.86
  6. Step 6: Final answer
    x = 1,998.49

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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.