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Finding the Fourth Proportional to 2,466.64, 3,402.18 and 1,569.50

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Solution

The fourth proportional to 2,466.64, 3,402.18 and 1,569.50 is: 2,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.64 : 3,402.18 = 1,569.50 : x
  2. Step 2: Convert to fraction form
    2,466.64/3,402.18 = 1,569.50/x
  3. Step 3: Cross multiply
    2,466.64x = 3,402.18 × 1,569.50
  4. Step 4: Simplify right side
    2,466.64x = 5,339,717.26
  5. Step 5: Solve for x
    x = 5,339,717.26/2,466.64
  6. Step 6: Final answer
    x = 2,164.77

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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.