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Finding the Fourth Proportional to 2,742.07, 4,113.09 and 690.07

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Solution

The fourth proportional to 2,742.07, 4,113.09 and 690.07 is: 1,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.07 : 4,113.09 = 690.07 : x
  2. Step 2: Convert to fraction form
    2,742.07/4,113.09 = 690.07/x
  3. Step 3: Cross multiply
    2,742.07x = 4,113.09 × 690.07
  4. Step 4: Simplify right side
    2,742.07x = 2,838,320.02
  5. Step 5: Solve for x
    x = 2,838,320.02/2,742.07
  6. Step 6: Final answer
    x = 1,035.10

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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.