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Finding the Fourth Proportional to 2,655.87, 3,665.17 and 1,477.01

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Solution

The fourth proportional to 2,655.87, 3,665.17 and 1,477.01 is: 2,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.87 : 3,665.17 = 1,477.01 : x
  2. Step 2: Convert to fraction form
    2,655.87/3,665.17 = 1,477.01/x
  3. Step 3: Cross multiply
    2,655.87x = 3,665.17 × 1,477.01
  4. Step 4: Simplify right side
    2,655.87x = 5,413,492.74
  5. Step 5: Solve for x
    x = 5,413,492.74/2,655.87
  6. Step 6: Final answer
    x = 2,038.31

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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.