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Finding the Fourth Proportional to 1,356.14, 2,037.64 and 1,301.47

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Solution

The fourth proportional to 1,356.14, 2,037.64 and 1,301.47 is: 1,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.14 : 2,037.64 = 1,301.47 : x
  2. Step 2: Convert to fraction form
    1,356.14/2,037.64 = 1,301.47/x
  3. Step 3: Cross multiply
    1,356.14x = 2,037.64 × 1,301.47
  4. Step 4: Simplify right side
    1,356.14x = 2,651,927.33
  5. Step 5: Solve for x
    x = 2,651,927.33/1,356.14
  6. Step 6: Final answer
    x = 1,955.50

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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.