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Finding the Fourth Proportional to 1,773.36, 2,431.08 and 1,742.04

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Solution

The fourth proportional to 1,773.36, 2,431.08 and 1,742.04 is: 2,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.36 : 2,431.08 = 1,742.04 : x
  2. Step 2: Convert to fraction form
    1,773.36/2,431.08 = 1,742.04/x
  3. Step 3: Cross multiply
    1,773.36x = 2,431.08 × 1,742.04
  4. Step 4: Simplify right side
    1,773.36x = 4,235,038.60
  5. Step 5: Solve for x
    x = 4,235,038.60/1,773.36
  6. Step 6: Final answer
    x = 2,388.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.