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Finding the Fourth Proportional to 1,631.66, 2,445.94 and 535.42

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Solution

The fourth proportional to 1,631.66, 2,445.94 and 535.42 is: 802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.66 : 2,445.94 = 535.42 : x
  2. Step 2: Convert to fraction form
    1,631.66/2,445.94 = 535.42/x
  3. Step 3: Cross multiply
    1,631.66x = 2,445.94 × 535.42
  4. Step 4: Simplify right side
    1,631.66x = 1,309,597.74
  5. Step 5: Solve for x
    x = 1,309,597.74/1,631.66
  6. Step 6: Final answer
    x = 802.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.