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Finding the Fourth Proportional to 1,853.71, 2,558.14 and 1,145.39

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Solution

The fourth proportional to 1,853.71, 2,558.14 and 1,145.39 is: 1,580.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.71 : 2,558.14 = 1,145.39 : x
  2. Step 2: Convert to fraction form
    1,853.71/2,558.14 = 1,145.39/x
  3. Step 3: Cross multiply
    1,853.71x = 2,558.14 × 1,145.39
  4. Step 4: Simplify right side
    1,853.71x = 2,930,071.51
  5. Step 5: Solve for x
    x = 2,930,071.51/1,853.71
  6. Step 6: Final answer
    x = 1,580.65

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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.