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Finding the Fourth Proportional to 2,656.11, 3,665.12 and 1,477.02

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Solution

The fourth proportional to 2,656.11, 3,665.12 and 1,477.02 is: 2,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.11 : 3,665.12 = 1,477.02 : x
  2. Step 2: Convert to fraction form
    2,656.11/3,665.12 = 1,477.02/x
  3. Step 3: Cross multiply
    2,656.11x = 3,665.12 × 1,477.02
  4. Step 4: Simplify right side
    2,656.11x = 5,413,448.16
  5. Step 5: Solve for x
    x = 5,413,448.16/2,656.11
  6. Step 6: Final answer
    x = 2,038.11

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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.