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Finding the Fourth Proportional to 1,417.80, 1,956.00 and 893.53

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Solution

The fourth proportional to 1,417.80, 1,956.00 and 893.53 is: 1,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.80 : 1,956.00 = 893.53 : x
  2. Step 2: Convert to fraction form
    1,417.80/1,956.00 = 893.53/x
  3. Step 3: Cross multiply
    1,417.80x = 1,956.00 × 893.53
  4. Step 4: Simplify right side
    1,417.80x = 1,747,745.45
  5. Step 5: Solve for x
    x = 1,747,745.45/1,417.80
  6. Step 6: Final answer
    x = 1,232.71

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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.