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Finding the Fourth Proportional to 2,514.58, 3,770.43 and 973.78

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Solution

The fourth proportional to 2,514.58, 3,770.43 and 973.78 is: 1,460.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.58 : 3,770.43 = 973.78 : x
  2. Step 2: Convert to fraction form
    2,514.58/3,770.43 = 973.78/x
  3. Step 3: Cross multiply
    2,514.58x = 3,770.43 × 973.78
  4. Step 4: Simplify right side
    2,514.58x = 3,671,569.33
  5. Step 5: Solve for x
    x = 3,671,569.33/2,514.58
  6. Step 6: Final answer
    x = 1,460.11

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