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Finding the Fourth Proportional to 1,931.23, 2,896.95 and 698.77

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Solution

The fourth proportional to 1,931.23, 2,896.95 and 698.77 is: 1,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.23 : 2,896.95 = 698.77 : x
  2. Step 2: Convert to fraction form
    1,931.23/2,896.95 = 698.77/x
  3. Step 3: Cross multiply
    1,931.23x = 2,896.95 × 698.77
  4. Step 4: Simplify right side
    1,931.23x = 2,024,301.75
  5. Step 5: Solve for x
    x = 2,024,301.75/1,931.23
  6. Step 6: Final answer
    x = 1,048.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.