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Finding the Fourth Proportional to 2,477.91, 3,417.54 and 2,106.12

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Solution

The fourth proportional to 2,477.91, 3,417.54 and 2,106.12 is: 2,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.91 : 3,417.54 = 2,106.12 : x
  2. Step 2: Convert to fraction form
    2,477.91/3,417.54 = 2,106.12/x
  3. Step 3: Cross multiply
    2,477.91x = 3,417.54 × 2,106.12
  4. Step 4: Simplify right side
    2,477.91x = 7,197,749.34
  5. Step 5: Solve for x
    x = 7,197,749.34/2,477.91
  6. Step 6: Final answer
    x = 2,904.77

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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.