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Finding the Fourth Proportional to 2,353.53, 3,530.75 and 1,055

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Solution

The fourth proportional to 2,353.53, 3,530.75 and 1,055 is: 1,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.53 : 3,530.75 = 1,055 : x
  2. Step 2: Convert to fraction form
    2,353.53/3,530.75 = 1,055/x
  3. Step 3: Cross multiply
    2,353.53x = 3,530.75 × 1,055
  4. Step 4: Simplify right side
    2,353.53x = 3,724,941.25
  5. Step 5: Solve for x
    x = 3,724,941.25/2,353.53
  6. Step 6: Final answer
    x = 1,582.70

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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.