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Finding the Fourth Proportional to 2,774.75, 4,159.95 and 1,387.40

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Solution

The fourth proportional to 2,774.75, 4,159.95 and 1,387.40 is: 2,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.75 : 4,159.95 = 1,387.40 : x
  2. Step 2: Convert to fraction form
    2,774.75/4,159.95 = 1,387.40/x
  3. Step 3: Cross multiply
    2,774.75x = 4,159.95 × 1,387.40
  4. Step 4: Simplify right side
    2,774.75x = 5,771,514.63
  5. Step 5: Solve for x
    x = 5,771,514.63/2,774.75
  6. Step 6: Final answer
    x = 2,080.01

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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.