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Finding the Fourth Proportional to 2,087.19, 3,130.83 and 700.47

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Solution

The fourth proportional to 2,087.19, 3,130.83 and 700.47 is: 1,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.19 : 3,130.83 = 700.47 : x
  2. Step 2: Convert to fraction form
    2,087.19/3,130.83 = 700.47/x
  3. Step 3: Cross multiply
    2,087.19x = 3,130.83 × 700.47
  4. Step 4: Simplify right side
    2,087.19x = 2,193,052.49
  5. Step 5: Solve for x
    x = 2,193,052.49/2,087.19
  6. Step 6: Final answer
    x = 1,050.72

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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.