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Finding the Fourth Proportional to 2,124.82, 2,928.27 and 1,534.33

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Solution

The fourth proportional to 2,124.82, 2,928.27 and 1,534.33 is: 2,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.82 : 2,928.27 = 1,534.33 : x
  2. Step 2: Convert to fraction form
    2,124.82/2,928.27 = 1,534.33/x
  3. Step 3: Cross multiply
    2,124.82x = 2,928.27 × 1,534.33
  4. Step 4: Simplify right side
    2,124.82x = 4,492,932.51
  5. Step 5: Solve for x
    x = 4,492,932.51/2,124.82
  6. Step 6: Final answer
    x = 2,114.50

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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.