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Finding the Fourth Proportional to 2,477.73, 3,419.37 and 1,358.77

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Solution

The fourth proportional to 2,477.73, 3,419.37 and 1,358.77 is: 1,875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.73 : 3,419.37 = 1,358.77 : x
  2. Step 2: Convert to fraction form
    2,477.73/3,419.37 = 1,358.77/x
  3. Step 3: Cross multiply
    2,477.73x = 3,419.37 × 1,358.77
  4. Step 4: Simplify right side
    2,477.73x = 4,646,137.37
  5. Step 5: Solve for x
    x = 4,646,137.37/2,477.73
  6. Step 6: Final answer
    x = 1,875.16

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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.