Home / 1,534.93-2,298.27-802.96

Finding the Fourth Proportional to 1,534.93, 2,298.27 and 802.96

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Solution

The fourth proportional to 1,534.93, 2,298.27 and 802.96 is: 1,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.93 : 2,298.27 = 802.96 : x
  2. Step 2: Convert to fraction form
    1,534.93/2,298.27 = 802.96/x
  3. Step 3: Cross multiply
    1,534.93x = 2,298.27 × 802.96
  4. Step 4: Simplify right side
    1,534.93x = 1,845,418.88
  5. Step 5: Solve for x
    x = 1,845,418.88/1,534.93
  6. Step 6: Final answer
    x = 1,202.28

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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.