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Finding the Fourth Proportional to 2,066.63, 2,852.15 and 1,280.93

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Solution

The fourth proportional to 2,066.63, 2,852.15 and 1,280.93 is: 1,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.63 : 2,852.15 = 1,280.93 : x
  2. Step 2: Convert to fraction form
    2,066.63/2,852.15 = 1,280.93/x
  3. Step 3: Cross multiply
    2,066.63x = 2,852.15 × 1,280.93
  4. Step 4: Simplify right side
    2,066.63x = 3,653,383.83
  5. Step 5: Solve for x
    x = 3,653,383.83/2,066.63
  6. Step 6: Final answer
    x = 1,767.80

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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.