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Finding the Fourth Proportional to 1,657.94, 2,288.11 and 912.01

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Solution

The fourth proportional to 1,657.94, 2,288.11 and 912.01 is: 1,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.94 : 2,288.11 = 912.01 : x
  2. Step 2: Convert to fraction form
    1,657.94/2,288.11 = 912.01/x
  3. Step 3: Cross multiply
    1,657.94x = 2,288.11 × 912.01
  4. Step 4: Simplify right side
    1,657.94x = 2,086,779.20
  5. Step 5: Solve for x
    x = 2,086,779.20/1,657.94
  6. Step 6: Final answer
    x = 1,258.66

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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.