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Finding the Fourth Proportional to 2,656, 3,665.24 and 1,477.08

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Solution

The fourth proportional to 2,656, 3,665.24 and 1,477.08 is: 2,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656 : 3,665.24 = 1,477.08 : x
  2. Step 2: Convert to fraction form
    2,656/3,665.24 = 1,477.08/x
  3. Step 3: Cross multiply
    2,656x = 3,665.24 × 1,477.08
  4. Step 4: Simplify right side
    2,656x = 5,413,852.70
  5. Step 5: Solve for x
    x = 5,413,852.70/2,656
  6. Step 6: Final answer
    x = 2,038.35

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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.