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Finding the Fourth Proportional to 1,852.64, 2,556.68 and 1,066.80

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Solution

The fourth proportional to 1,852.64, 2,556.68 and 1,066.80 is: 1,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.64 : 2,556.68 = 1,066.80 : x
  2. Step 2: Convert to fraction form
    1,852.64/2,556.68 = 1,066.80/x
  3. Step 3: Cross multiply
    1,852.64x = 2,556.68 × 1,066.80
  4. Step 4: Simplify right side
    1,852.64x = 2,727,466.22
  5. Step 5: Solve for x
    x = 2,727,466.22/1,852.64
  6. Step 6: Final answer
    x = 1,472.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.