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Finding the Fourth Proportional to 1,864.50, 2,572.80 and 1,118.49

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Solution

The fourth proportional to 1,864.50, 2,572.80 and 1,118.49 is: 1,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.50 : 2,572.80 = 1,118.49 : x
  2. Step 2: Convert to fraction form
    1,864.50/2,572.80 = 1,118.49/x
  3. Step 3: Cross multiply
    1,864.50x = 2,572.80 × 1,118.49
  4. Step 4: Simplify right side
    1,864.50x = 2,877,644.64
  5. Step 5: Solve for x
    x = 2,877,644.64/1,864.50
  6. Step 6: Final answer
    x = 1,543.39

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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.