Home / 1,466.15-2,023.31-802.98

Finding the Fourth Proportional to 1,466.15, 2,023.31 and 802.98

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Solution

The fourth proportional to 1,466.15, 2,023.31 and 802.98 is: 1,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.15 : 2,023.31 = 802.98 : x
  2. Step 2: Convert to fraction form
    1,466.15/2,023.31 = 802.98/x
  3. Step 3: Cross multiply
    1,466.15x = 2,023.31 × 802.98
  4. Step 4: Simplify right side
    1,466.15x = 1,624,673.45
  5. Step 5: Solve for x
    x = 1,624,673.45/1,466.15
  6. Step 6: Final answer
    x = 1,108.13

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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.