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Finding the Fourth Proportional to 2,094.61, 3,139.73 and 707.47

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Solution

The fourth proportional to 2,094.61, 3,139.73 and 707.47 is: 1,060.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.61 : 3,139.73 = 707.47 : x
  2. Step 2: Convert to fraction form
    2,094.61/3,139.73 = 707.47/x
  3. Step 3: Cross multiply
    2,094.61x = 3,139.73 × 707.47
  4. Step 4: Simplify right side
    2,094.61x = 2,221,245.55
  5. Step 5: Solve for x
    x = 2,221,245.55/2,094.61
  6. Step 6: Final answer
    x = 1,060.46

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