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Finding the Fourth Proportional to 1,556.98, 2,335.57 and 1,012.64

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Solution

The fourth proportional to 1,556.98, 2,335.57 and 1,012.64 is: 1,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.98 : 2,335.57 = 1,012.64 : x
  2. Step 2: Convert to fraction form
    1,556.98/2,335.57 = 1,012.64/x
  3. Step 3: Cross multiply
    1,556.98x = 2,335.57 × 1,012.64
  4. Step 4: Simplify right side
    1,556.98x = 2,365,077.40
  5. Step 5: Solve for x
    x = 2,365,077.40/1,556.98
  6. Step 6: Final answer
    x = 1,519.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.