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Finding the Fourth Proportional to 2,594.64, 3,583.65 and 2,065.31

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Solution

The fourth proportional to 2,594.64, 3,583.65 and 2,065.31 is: 2,852.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.64 : 3,583.65 = 2,065.31 : x
  2. Step 2: Convert to fraction form
    2,594.64/3,583.65 = 2,065.31/x
  3. Step 3: Cross multiply
    2,594.64x = 3,583.65 × 2,065.31
  4. Step 4: Simplify right side
    2,594.64x = 7,401,330.26
  5. Step 5: Solve for x
    x = 7,401,330.26/2,594.64
  6. Step 6: Final answer
    x = 2,852.55

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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.