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Finding the Fourth Proportional to 1,465.74, 2,036.93 and 1,447.38

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Solution

The fourth proportional to 1,465.74, 2,036.93 and 1,447.38 is: 2,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.74 : 2,036.93 = 1,447.38 : x
  2. Step 2: Convert to fraction form
    1,465.74/2,036.93 = 1,447.38/x
  3. Step 3: Cross multiply
    1,465.74x = 2,036.93 × 1,447.38
  4. Step 4: Simplify right side
    1,465.74x = 2,948,204.51
  5. Step 5: Solve for x
    x = 2,948,204.51/1,465.74
  6. Step 6: Final answer
    x = 2,011.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.