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Finding the Fourth Proportional to 2,356.46, 3,534.00 and 1,539.07

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Solution

The fourth proportional to 2,356.46, 3,534.00 and 1,539.07 is: 2,308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.46 : 3,534.00 = 1,539.07 : x
  2. Step 2: Convert to fraction form
    2,356.46/3,534.00 = 1,539.07/x
  3. Step 3: Cross multiply
    2,356.46x = 3,534.00 × 1,539.07
  4. Step 4: Simplify right side
    2,356.46x = 5,439,058.77
  5. Step 5: Solve for x
    x = 5,439,058.77/2,356.46
  6. Step 6: Final answer
    x = 2,308.15

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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.