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Finding the Fourth Proportional to 2,526.34, 3,488.02 and 1,643.64

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Solution

The fourth proportional to 2,526.34, 3,488.02 and 1,643.64 is: 2,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.34 : 3,488.02 = 1,643.64 : x
  2. Step 2: Convert to fraction form
    2,526.34/3,488.02 = 1,643.64/x
  3. Step 3: Cross multiply
    2,526.34x = 3,488.02 × 1,643.64
  4. Step 4: Simplify right side
    2,526.34x = 5,733,049.19
  5. Step 5: Solve for x
    x = 5,733,049.19/2,526.34
  6. Step 6: Final answer
    x = 2,269.31

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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.