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Finding the Fourth Proportional to 2,656.55, 3,666.03 and 1,477.85

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Solution

The fourth proportional to 2,656.55, 3,666.03 and 1,477.85 is: 2,039.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.55 : 3,666.03 = 1,477.85 : x
  2. Step 2: Convert to fraction form
    2,656.55/3,666.03 = 1,477.85/x
  3. Step 3: Cross multiply
    2,656.55x = 3,666.03 × 1,477.85
  4. Step 4: Simplify right side
    2,656.55x = 5,417,831.03
  5. Step 5: Solve for x
    x = 5,417,831.03/2,656.55
  6. Step 6: Final answer
    x = 2,039.43

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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.