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Finding the Fourth Proportional to 2,093.64, 3,140.40 and 707.28

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Solution

The fourth proportional to 2,093.64, 3,140.40 and 707.28 is: 1,060.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.64 : 3,140.40 = 707.28 : x
  2. Step 2: Convert to fraction form
    2,093.64/3,140.40 = 707.28/x
  3. Step 3: Cross multiply
    2,093.64x = 3,140.40 × 707.28
  4. Step 4: Simplify right side
    2,093.64x = 2,221,142.11
  5. Step 5: Solve for x
    x = 2,221,142.11/2,093.64
  6. Step 6: Final answer
    x = 1,060.90

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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.