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Finding the Fourth Proportional to 2,559.33, 3,532.32 and 1,564.65

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Solution

The fourth proportional to 2,559.33, 3,532.32 and 1,564.65 is: 2,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.33 : 3,532.32 = 1,564.65 : x
  2. Step 2: Convert to fraction form
    2,559.33/3,532.32 = 1,564.65/x
  3. Step 3: Cross multiply
    2,559.33x = 3,532.32 × 1,564.65
  4. Step 4: Simplify right side
    2,559.33x = 5,526,844.49
  5. Step 5: Solve for x
    x = 5,526,844.49/2,559.33
  6. Step 6: Final answer
    x = 2,159.49

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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.