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Finding the Fourth Proportional to 2,583.59, 3,556.14 and 2,159.28

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Solution

The fourth proportional to 2,583.59, 3,556.14 and 2,159.28 is: 2,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.59 : 3,556.14 = 2,159.28 : x
  2. Step 2: Convert to fraction form
    2,583.59/3,556.14 = 2,159.28/x
  3. Step 3: Cross multiply
    2,583.59x = 3,556.14 × 2,159.28
  4. Step 4: Simplify right side
    2,583.59x = 7,678,701.98
  5. Step 5: Solve for x
    x = 7,678,701.98/2,583.59
  6. Step 6: Final answer
    x = 2,972.11

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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.