Home / 1,461.18-2,189.13-802.34

Finding the Fourth Proportional to 1,461.18, 2,189.13 and 802.34

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Solution

The fourth proportional to 1,461.18, 2,189.13 and 802.34 is: 1,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.18 : 2,189.13 = 802.34 : x
  2. Step 2: Convert to fraction form
    1,461.18/2,189.13 = 802.34/x
  3. Step 3: Cross multiply
    1,461.18x = 2,189.13 × 802.34
  4. Step 4: Simplify right side
    1,461.18x = 1,756,426.56
  5. Step 5: Solve for x
    x = 1,756,426.56/1,461.18
  6. Step 6: Final answer
    x = 1,202.06

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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.