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Finding the Fourth Proportional to 1,777.60, 2,666.40 and 804.64

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Solution

The fourth proportional to 1,777.60, 2,666.40 and 804.64 is: 1,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.60 : 2,666.40 = 804.64 : x
  2. Step 2: Convert to fraction form
    1,777.60/2,666.40 = 804.64/x
  3. Step 3: Cross multiply
    1,777.60x = 2,666.40 × 804.64
  4. Step 4: Simplify right side
    1,777.60x = 2,145,492.10
  5. Step 5: Solve for x
    x = 2,145,492.10/1,777.60
  6. Step 6: Final answer
    x = 1,206.96

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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.