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Finding the Fourth Proportional to 2,772.51, 4,159.60 and 1,663.15

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Solution

The fourth proportional to 2,772.51, 4,159.60 and 1,663.15 is: 2,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.51 : 4,159.60 = 1,663.15 : x
  2. Step 2: Convert to fraction form
    2,772.51/4,159.60 = 1,663.15/x
  3. Step 3: Cross multiply
    2,772.51x = 4,159.60 × 1,663.15
  4. Step 4: Simplify right side
    2,772.51x = 6,918,041.34
  5. Step 5: Solve for x
    x = 6,918,041.34/2,772.51
  6. Step 6: Final answer
    x = 2,495.23

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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.