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Finding the Fourth Proportional to 1,646.16, 2,472.92 and 1,405.60

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Solution

The fourth proportional to 1,646.16, 2,472.92 and 1,405.60 is: 2,111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.16 : 2,472.92 = 1,405.60 : x
  2. Step 2: Convert to fraction form
    1,646.16/2,472.92 = 1,405.60/x
  3. Step 3: Cross multiply
    1,646.16x = 2,472.92 × 1,405.60
  4. Step 4: Simplify right side
    1,646.16x = 3,475,936.35
  5. Step 5: Solve for x
    x = 3,475,936.35/1,646.16
  6. Step 6: Final answer
    x = 2,111.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.