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Finding the Fourth Proportional to 2,465, 3,402.01 and 1,470.27

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Solution

The fourth proportional to 2,465, 3,402.01 and 1,470.27 is: 2,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465 : 3,402.01 = 1,470.27 : x
  2. Step 2: Convert to fraction form
    2,465/3,402.01 = 1,470.27/x
  3. Step 3: Cross multiply
    2,465x = 3,402.01 × 1,470.27
  4. Step 4: Simplify right side
    2,465x = 5,001,873.24
  5. Step 5: Solve for x
    x = 5,001,873.24/2,465
  6. Step 6: Final answer
    x = 2,029.16

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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.