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Finding the Fourth Proportional to 2,347.82, 3,520.92 and 703.93

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Solution

The fourth proportional to 2,347.82, 3,520.92 and 703.93 is: 1,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.82 : 3,520.92 = 703.93 : x
  2. Step 2: Convert to fraction form
    2,347.82/3,520.92 = 703.93/x
  3. Step 3: Cross multiply
    2,347.82x = 3,520.92 × 703.93
  4. Step 4: Simplify right side
    2,347.82x = 2,478,463.61
  5. Step 5: Solve for x
    x = 2,478,463.61/2,347.82
  6. Step 6: Final answer
    x = 1,055.64

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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.