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Finding the Fourth Proportional to 1,877.50, 2,590.05 and 1,214.56

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Solution

The fourth proportional to 1,877.50, 2,590.05 and 1,214.56 is: 1,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.50 : 2,590.05 = 1,214.56 : x
  2. Step 2: Convert to fraction form
    1,877.50/2,590.05 = 1,214.56/x
  3. Step 3: Cross multiply
    1,877.50x = 2,590.05 × 1,214.56
  4. Step 4: Simplify right side
    1,877.50x = 3,145,771.13
  5. Step 5: Solve for x
    x = 3,145,771.13/1,877.50
  6. Step 6: Final answer
    x = 1,675.51

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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.