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Finding the Fourth Proportional to 1,628.19, 2,442.15 and 703.71

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Solution

The fourth proportional to 1,628.19, 2,442.15 and 703.71 is: 1,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.19 : 2,442.15 = 703.71 : x
  2. Step 2: Convert to fraction form
    1,628.19/2,442.15 = 703.71/x
  3. Step 3: Cross multiply
    1,628.19x = 2,442.15 × 703.71
  4. Step 4: Simplify right side
    1,628.19x = 1,718,565.38
  5. Step 5: Solve for x
    x = 1,718,565.38/1,628.19
  6. Step 6: Final answer
    x = 1,055.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.