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Finding the Fourth Proportional to 2,656.34, 3,985.32 and 1,358.72

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Solution

The fourth proportional to 2,656.34, 3,985.32 and 1,358.72 is: 2,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.34 : 3,985.32 = 1,358.72 : x
  2. Step 2: Convert to fraction form
    2,656.34/3,985.32 = 1,358.72/x
  3. Step 3: Cross multiply
    2,656.34x = 3,985.32 × 1,358.72
  4. Step 4: Simplify right side
    2,656.34x = 5,414,914.06
  5. Step 5: Solve for x
    x = 5,414,914.06/2,656.34
  6. Step 6: Final answer
    x = 2,038.49

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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.