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Finding the Fourth Proportional to 2,153.52, 2,971.86 and 1,408.74

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Solution

The fourth proportional to 2,153.52, 2,971.86 and 1,408.74 is: 1,944.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.52 : 2,971.86 = 1,408.74 : x
  2. Step 2: Convert to fraction form
    2,153.52/2,971.86 = 1,408.74/x
  3. Step 3: Cross multiply
    2,153.52x = 2,971.86 × 1,408.74
  4. Step 4: Simplify right side
    2,153.52x = 4,186,578.06
  5. Step 5: Solve for x
    x = 4,186,578.06/2,153.52
  6. Step 6: Final answer
    x = 1,944.06

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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.