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Finding the Fourth Proportional to 1,864.81, 2,573.34 and 1,118.39

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Solution

The fourth proportional to 1,864.81, 2,573.34 and 1,118.39 is: 1,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.81 : 2,573.34 = 1,118.39 : x
  2. Step 2: Convert to fraction form
    1,864.81/2,573.34 = 1,118.39/x
  3. Step 3: Cross multiply
    1,864.81x = 2,573.34 × 1,118.39
  4. Step 4: Simplify right side
    1,864.81x = 2,877,997.72
  5. Step 5: Solve for x
    x = 2,877,997.72/1,864.81
  6. Step 6: Final answer
    x = 1,543.32

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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.