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Finding the Fourth Proportional to 2,087.03, 3,130.78 and 700.46

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Solution

The fourth proportional to 2,087.03, 3,130.78 and 700.46 is: 1,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.03 : 3,130.78 = 700.46 : x
  2. Step 2: Convert to fraction form
    2,087.03/3,130.78 = 700.46/x
  3. Step 3: Cross multiply
    2,087.03x = 3,130.78 × 700.46
  4. Step 4: Simplify right side
    2,087.03x = 2,192,984.24
  5. Step 5: Solve for x
    x = 2,192,984.24/2,087.03
  6. Step 6: Final answer
    x = 1,050.77

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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.