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Finding the Fourth Proportional to 1,547.39, 2,320.96 and 1,003

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Solution

The fourth proportional to 1,547.39, 2,320.96 and 1,003 is: 1,504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.39 : 2,320.96 = 1,003 : x
  2. Step 2: Convert to fraction form
    1,547.39/2,320.96 = 1,003/x
  3. Step 3: Cross multiply
    1,547.39x = 2,320.96 × 1,003
  4. Step 4: Simplify right side
    1,547.39x = 2,327,922.88
  5. Step 5: Solve for x
    x = 2,327,922.88/1,547.39
  6. Step 6: Final answer
    x = 1,504.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.