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Finding the Fourth Proportional to 2,359.56, 3,533.95 and 1,127.84

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Solution

The fourth proportional to 2,359.56, 3,533.95 and 1,127.84 is: 1,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.56 : 3,533.95 = 1,127.84 : x
  2. Step 2: Convert to fraction form
    2,359.56/3,533.95 = 1,127.84/x
  3. Step 3: Cross multiply
    2,359.56x = 3,533.95 × 1,127.84
  4. Step 4: Simplify right side
    2,359.56x = 3,985,706.86
  5. Step 5: Solve for x
    x = 3,985,706.86/2,359.56
  6. Step 6: Final answer
    x = 1,689.17

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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.