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Finding the Fourth Proportional to 2,465.70, 3,402.75 and 1,346.70

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Solution

The fourth proportional to 2,465.70, 3,402.75 and 1,346.70 is: 1,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.70 : 3,402.75 = 1,346.70 : x
  2. Step 2: Convert to fraction form
    2,465.70/3,402.75 = 1,346.70/x
  3. Step 3: Cross multiply
    2,465.70x = 3,402.75 × 1,346.70
  4. Step 4: Simplify right side
    2,465.70x = 4,582,483.43
  5. Step 5: Solve for x
    x = 4,582,483.43/2,465.70
  6. Step 6: Final answer
    x = 1,858.49

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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.