Home / 1,466.10-2,023.17-802.89

Finding the Fourth Proportional to 1,466.10, 2,023.17 and 802.89

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Solution

The fourth proportional to 1,466.10, 2,023.17 and 802.89 is: 1,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.10 : 2,023.17 = 802.89 : x
  2. Step 2: Convert to fraction form
    1,466.10/2,023.17 = 802.89/x
  3. Step 3: Cross multiply
    1,466.10x = 2,023.17 × 802.89
  4. Step 4: Simplify right side
    1,466.10x = 1,624,382.96
  5. Step 5: Solve for x
    x = 1,624,382.96/1,466.10
  6. Step 6: Final answer
    x = 1,107.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.