Home / 1,466.08-2,023.14-802.93

Finding the Fourth Proportional to 1,466.08, 2,023.14 and 802.93

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Solution

The fourth proportional to 1,466.08, 2,023.14 and 802.93 is: 1,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.08 : 2,023.14 = 802.93 : x
  2. Step 2: Convert to fraction form
    1,466.08/2,023.14 = 802.93/x
  3. Step 3: Cross multiply
    1,466.08x = 2,023.14 × 802.93
  4. Step 4: Simplify right side
    1,466.08x = 1,624,439.80
  5. Step 5: Solve for x
    x = 1,624,439.80/1,466.08
  6. Step 6: Final answer
    x = 1,108.02

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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.