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Finding the Fourth Proportional to 2,355.02, 3,533.04 and 689.18

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Solution

The fourth proportional to 2,355.02, 3,533.04 and 689.18 is: 1,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.02 : 3,533.04 = 689.18 : x
  2. Step 2: Convert to fraction form
    2,355.02/3,533.04 = 689.18/x
  3. Step 3: Cross multiply
    2,355.02x = 3,533.04 × 689.18
  4. Step 4: Simplify right side
    2,355.02x = 2,434,900.51
  5. Step 5: Solve for x
    x = 2,434,900.51/2,355.02
  6. Step 6: Final answer
    x = 1,033.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.