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Finding the Fourth Proportional to 1,366.84, 1,887.90 and 1,357.24

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Solution

The fourth proportional to 1,366.84, 1,887.90 and 1,357.24 is: 1,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.84 : 1,887.90 = 1,357.24 : x
  2. Step 2: Convert to fraction form
    1,366.84/1,887.90 = 1,357.24/x
  3. Step 3: Cross multiply
    1,366.84x = 1,887.90 × 1,357.24
  4. Step 4: Simplify right side
    1,366.84x = 2,562,333.40
  5. Step 5: Solve for x
    x = 2,562,333.40/1,366.84
  6. Step 6: Final answer
    x = 1,874.64

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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.