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Finding the Fourth Proportional to 2,656.46, 3,665.76 and 1,477.46

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Solution

The fourth proportional to 2,656.46, 3,665.76 and 1,477.46 is: 2,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.46 : 3,665.76 = 1,477.46 : x
  2. Step 2: Convert to fraction form
    2,656.46/3,665.76 = 1,477.46/x
  3. Step 3: Cross multiply
    2,656.46x = 3,665.76 × 1,477.46
  4. Step 4: Simplify right side
    2,656.46x = 5,416,013.77
  5. Step 5: Solve for x
    x = 5,416,013.77/2,656.46
  6. Step 6: Final answer
    x = 2,038.81

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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.