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Finding the Fourth Proportional to 2,153.84, 2,973.48 and 1,524.92

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Solution

The fourth proportional to 2,153.84, 2,973.48 and 1,524.92 is: 2,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.84 : 2,973.48 = 1,524.92 : x
  2. Step 2: Convert to fraction form
    2,153.84/2,973.48 = 1,524.92/x
  3. Step 3: Cross multiply
    2,153.84x = 2,973.48 × 1,524.92
  4. Step 4: Simplify right side
    2,153.84x = 4,534,319.12
  5. Step 5: Solve for x
    x = 4,534,319.12/2,153.84
  6. Step 6: Final answer
    x = 2,105.23

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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.