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Finding the Fourth Proportional to 1,526.95, 2,107.48 and 968.06

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Solution

The fourth proportional to 1,526.95, 2,107.48 and 968.06 is: 1,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.95 : 2,107.48 = 968.06 : x
  2. Step 2: Convert to fraction form
    1,526.95/2,107.48 = 968.06/x
  3. Step 3: Cross multiply
    1,526.95x = 2,107.48 × 968.06
  4. Step 4: Simplify right side
    1,526.95x = 2,040,167.09
  5. Step 5: Solve for x
    x = 2,040,167.09/1,526.95
  6. Step 6: Final answer
    x = 1,336.11

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Why These Related Problems?

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