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Finding the Fourth Proportional to 2,347.08, 3,521.30 and 703.86

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Solution

The fourth proportional to 2,347.08, 3,521.30 and 703.86 is: 1,056.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.08 : 3,521.30 = 703.86 : x
  2. Step 2: Convert to fraction form
    2,347.08/3,521.30 = 703.86/x
  3. Step 3: Cross multiply
    2,347.08x = 3,521.30 × 703.86
  4. Step 4: Simplify right side
    2,347.08x = 2,478,517.18
  5. Step 5: Solve for x
    x = 2,478,517.18/2,347.08
  6. Step 6: Final answer
    x = 1,056.00

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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.