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Finding the Fourth Proportional to 1,876.14, 2,590.02 and 1,455.57

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Solution

The fourth proportional to 1,876.14, 2,590.02 and 1,455.57 is: 2,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.14 : 2,590.02 = 1,455.57 : x
  2. Step 2: Convert to fraction form
    1,876.14/2,590.02 = 1,455.57/x
  3. Step 3: Cross multiply
    1,876.14x = 2,590.02 × 1,455.57
  4. Step 4: Simplify right side
    1,876.14x = 3,769,955.41
  5. Step 5: Solve for x
    x = 3,769,955.41/1,876.14
  6. Step 6: Final answer
    x = 2,009.42

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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.