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Finding the Fourth Proportional to 2,507.80, 3,460.68 and 1,445.57

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Solution

The fourth proportional to 2,507.80, 3,460.68 and 1,445.57 is: 1,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.80 : 3,460.68 = 1,445.57 : x
  2. Step 2: Convert to fraction form
    2,507.80/3,460.68 = 1,445.57/x
  3. Step 3: Cross multiply
    2,507.80x = 3,460.68 × 1,445.57
  4. Step 4: Simplify right side
    2,507.80x = 5,002,641.13
  5. Step 5: Solve for x
    x = 5,002,641.13/2,507.80
  6. Step 6: Final answer
    x = 1,994.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.