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Finding the Fourth Proportional to 2,005.57, 3,008.76 and 707.05

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Solution

The fourth proportional to 2,005.57, 3,008.76 and 707.05 is: 1,060.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.57 : 3,008.76 = 707.05 : x
  2. Step 2: Convert to fraction form
    2,005.57/3,008.76 = 707.05/x
  3. Step 3: Cross multiply
    2,005.57x = 3,008.76 × 707.05
  4. Step 4: Simplify right side
    2,005.57x = 2,127,343.76
  5. Step 5: Solve for x
    x = 2,127,343.76/2,005.57
  6. Step 6: Final answer
    x = 1,060.72

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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.