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Finding the Fourth Proportional to 1,655.99, 2,484.05 and 833.82

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Solution

The fourth proportional to 1,655.99, 2,484.05 and 833.82 is: 1,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.99 : 2,484.05 = 833.82 : x
  2. Step 2: Convert to fraction form
    1,655.99/2,484.05 = 833.82/x
  3. Step 3: Cross multiply
    1,655.99x = 2,484.05 × 833.82
  4. Step 4: Simplify right side
    1,655.99x = 2,071,252.66
  5. Step 5: Solve for x
    x = 2,071,252.66/1,655.99
  6. Step 6: Final answer
    x = 1,250.76

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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.