Home / 1,466.09-2,023.20-802.94

Finding the Fourth Proportional to 1,466.09, 2,023.20 and 802.94

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Solution

The fourth proportional to 1,466.09, 2,023.20 and 802.94 is: 1,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.09 : 2,023.20 = 802.94 : x
  2. Step 2: Convert to fraction form
    1,466.09/2,023.20 = 802.94/x
  3. Step 3: Cross multiply
    1,466.09x = 2,023.20 × 802.94
  4. Step 4: Simplify right side
    1,466.09x = 1,624,508.21
  5. Step 5: Solve for x
    x = 1,624,508.21/1,466.09
  6. Step 6: Final answer
    x = 1,108.05

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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.