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Finding the Fourth Proportional to 2,445.64, 3,666.14 and 906.28

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Solution

The fourth proportional to 2,445.64, 3,666.14 and 906.28 is: 1,358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.64 : 3,666.14 = 906.28 : x
  2. Step 2: Convert to fraction form
    2,445.64/3,666.14 = 906.28/x
  3. Step 3: Cross multiply
    2,445.64x = 3,666.14 × 906.28
  4. Step 4: Simplify right side
    2,445.64x = 3,322,549.36
  5. Step 5: Solve for x
    x = 3,322,549.36/2,445.64
  6. Step 6: Final answer
    x = 1,358.56

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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.