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Finding the Fourth Proportional to 1,417.74, 2,111.88 and 1,346.64

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Solution

The fourth proportional to 1,417.74, 2,111.88 and 1,346.64 is: 2,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.74 : 2,111.88 = 1,346.64 : x
  2. Step 2: Convert to fraction form
    1,417.74/2,111.88 = 1,346.64/x
  3. Step 3: Cross multiply
    1,417.74x = 2,111.88 × 1,346.64
  4. Step 4: Simplify right side
    1,417.74x = 2,843,942.08
  5. Step 5: Solve for x
    x = 2,843,942.08/1,417.74
  6. Step 6: Final answer
    x = 2,005.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.