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Finding the Fourth Proportional to 2,335.51, 3,503.78 and 1,019.48

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Solution

The fourth proportional to 2,335.51, 3,503.78 and 1,019.48 is: 1,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.51 : 3,503.78 = 1,019.48 : x
  2. Step 2: Convert to fraction form
    2,335.51/3,503.78 = 1,019.48/x
  3. Step 3: Cross multiply
    2,335.51x = 3,503.78 × 1,019.48
  4. Step 4: Simplify right side
    2,335.51x = 3,572,018.66
  5. Step 5: Solve for x
    x = 3,572,018.66/2,335.51
  6. Step 6: Final answer
    x = 1,529.44

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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.