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Finding the Fourth Proportional to 3,165.84, 4,368.51 and 1,749.60

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Solution

The fourth proportional to 3,165.84, 4,368.51 and 1,749.60 is: 2,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.84 : 4,368.51 = 1,749.60 : x
  2. Step 2: Convert to fraction form
    3,165.84/4,368.51 = 1,749.60/x
  3. Step 3: Cross multiply
    3,165.84x = 4,368.51 × 1,749.60
  4. Step 4: Simplify right side
    3,165.84x = 7,643,145.10
  5. Step 5: Solve for x
    x = 7,643,145.10/3,165.84
  6. Step 6: Final answer
    x = 2,414.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.