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Finding the Fourth Proportional to 1,801.86, 2,703.47 and 631.95

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Solution

The fourth proportional to 1,801.86, 2,703.47 and 631.95 is: 948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.86 : 2,703.47 = 631.95 : x
  2. Step 2: Convert to fraction form
    1,801.86/2,703.47 = 631.95/x
  3. Step 3: Cross multiply
    1,801.86x = 2,703.47 × 631.95
  4. Step 4: Simplify right side
    1,801.86x = 1,708,454.71
  5. Step 5: Solve for x
    x = 1,708,454.71/1,801.86
  6. Step 6: Final answer
    x = 948.16

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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.