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Finding the Fourth Proportional to 1,526.70, 2,107.85 and 967.35

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Solution

The fourth proportional to 1,526.70, 2,107.85 and 967.35 is: 1,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.70 : 2,107.85 = 967.35 : x
  2. Step 2: Convert to fraction form
    1,526.70/2,107.85 = 967.35/x
  3. Step 3: Cross multiply
    1,526.70x = 2,107.85 × 967.35
  4. Step 4: Simplify right side
    1,526.70x = 2,039,023.86
  5. Step 5: Solve for x
    x = 2,039,023.86/1,526.70
  6. Step 6: Final answer
    x = 1,335.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.