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Finding the Fourth Proportional to 1,360.66, 2,037.68 and 1,164.50

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Solution

The fourth proportional to 1,360.66, 2,037.68 and 1,164.50 is: 1,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.66 : 2,037.68 = 1,164.50 : x
  2. Step 2: Convert to fraction form
    1,360.66/2,037.68 = 1,164.50/x
  3. Step 3: Cross multiply
    1,360.66x = 2,037.68 × 1,164.50
  4. Step 4: Simplify right side
    1,360.66x = 2,372,878.36
  5. Step 5: Solve for x
    x = 2,372,878.36/1,360.66
  6. Step 6: Final answer
    x = 1,743.92

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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.