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Finding the Fourth Proportional to 1,777.39, 2,666.05 and 802.81

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Solution

The fourth proportional to 1,777.39, 2,666.05 and 802.81 is: 1,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.39 : 2,666.05 = 802.81 : x
  2. Step 2: Convert to fraction form
    1,777.39/2,666.05 = 802.81/x
  3. Step 3: Cross multiply
    1,777.39x = 2,666.05 × 802.81
  4. Step 4: Simplify right side
    1,777.39x = 2,140,331.60
  5. Step 5: Solve for x
    x = 2,140,331.60/1,777.39
  6. Step 6: Final answer
    x = 1,204.20

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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.