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Finding the Fourth Proportional to 2,656.36, 3,658.32 and 2,598.96

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Solution

The fourth proportional to 2,656.36, 3,658.32 and 2,598.96 is: 3,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.36 : 3,658.32 = 2,598.96 : x
  2. Step 2: Convert to fraction form
    2,656.36/3,658.32 = 2,598.96/x
  3. Step 3: Cross multiply
    2,656.36x = 3,658.32 × 2,598.96
  4. Step 4: Simplify right side
    2,656.36x = 9,507,827.35
  5. Step 5: Solve for x
    x = 9,507,827.35/2,656.36
  6. Step 6: Final answer
    x = 3,579.27

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