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Finding the Fourth Proportional to 2,022.95, 2,792.54 and 1,277.32

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Solution

The fourth proportional to 2,022.95, 2,792.54 and 1,277.32 is: 1,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.95 : 2,792.54 = 1,277.32 : x
  2. Step 2: Convert to fraction form
    2,022.95/2,792.54 = 1,277.32/x
  3. Step 3: Cross multiply
    2,022.95x = 2,792.54 × 1,277.32
  4. Step 4: Simplify right side
    2,022.95x = 3,566,967.19
  5. Step 5: Solve for x
    x = 3,566,967.19/2,022.95
  6. Step 6: Final answer
    x = 1,763.25

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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.