Home / 1,631.06-2,446.07-535.16

Finding the Fourth Proportional to 1,631.06, 2,446.07 and 535.16

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Solution

The fourth proportional to 1,631.06, 2,446.07 and 535.16 is: 802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.06 : 2,446.07 = 535.16 : x
  2. Step 2: Convert to fraction form
    1,631.06/2,446.07 = 535.16/x
  3. Step 3: Cross multiply
    1,631.06x = 2,446.07 × 535.16
  4. Step 4: Simplify right side
    1,631.06x = 1,309,036.15
  5. Step 5: Solve for x
    x = 1,309,036.15/1,631.06
  6. Step 6: Final answer
    x = 802.57

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Why These Related Problems?

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