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Finding the Fourth Proportional to 1,277.60, 1,752.75 and 1,215.63

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Solution

The fourth proportional to 1,277.60, 1,752.75 and 1,215.63 is: 1,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.60 : 1,752.75 = 1,215.63 : x
  2. Step 2: Convert to fraction form
    1,277.60/1,752.75 = 1,215.63/x
  3. Step 3: Cross multiply
    1,277.60x = 1,752.75 × 1,215.63
  4. Step 4: Simplify right side
    1,277.60x = 2,130,695.48
  5. Step 5: Solve for x
    x = 2,130,695.48/1,277.60
  6. Step 6: Final answer
    x = 1,667.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.