Home / 1,631.40-2,447.07-535.32

Finding the Fourth Proportional to 1,631.40, 2,447.07 and 535.32

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Solution

The fourth proportional to 1,631.40, 2,447.07 and 535.32 is: 802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.40 : 2,447.07 = 535.32 : x
  2. Step 2: Convert to fraction form
    1,631.40/2,447.07 = 535.32/x
  3. Step 3: Cross multiply
    1,631.40x = 2,447.07 × 535.32
  4. Step 4: Simplify right side
    1,631.40x = 1,309,965.51
  5. Step 5: Solve for x
    x = 1,309,965.51/1,631.40
  6. Step 6: Final answer
    x = 802.97

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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.