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Finding the Fourth Proportional to 1,556.64, 2,321.44 and 1,535.72

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Solution

The fourth proportional to 1,556.64, 2,321.44 and 1,535.72 is: 2,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.64 : 2,321.44 = 1,535.72 : x
  2. Step 2: Convert to fraction form
    1,556.64/2,321.44 = 1,535.72/x
  3. Step 3: Cross multiply
    1,556.64x = 2,321.44 × 1,535.72
  4. Step 4: Simplify right side
    1,556.64x = 3,565,066.39
  5. Step 5: Solve for x
    x = 3,565,066.39/1,556.64
  6. Step 6: Final answer
    x = 2,290.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.