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Finding the Fourth Proportional to 2,359.73, 3,534.74 and 1,385.30

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Solution

The fourth proportional to 2,359.73, 3,534.74 and 1,385.30 is: 2,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.73 : 3,534.74 = 1,385.30 : x
  2. Step 2: Convert to fraction form
    2,359.73/3,534.74 = 1,385.30/x
  3. Step 3: Cross multiply
    2,359.73x = 3,534.74 × 1,385.30
  4. Step 4: Simplify right side
    2,359.73x = 4,896,682.43
  5. Step 5: Solve for x
    x = 4,896,682.43/2,359.73
  6. Step 6: Final answer
    x = 2,075.10

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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.