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Finding the Fourth Proportional to 1,653.83, 2,477.70 and 1,392.60

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Solution

The fourth proportional to 1,653.83, 2,477.70 and 1,392.60 is: 2,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.83 : 2,477.70 = 1,392.60 : x
  2. Step 2: Convert to fraction form
    1,653.83/2,477.70 = 1,392.60/x
  3. Step 3: Cross multiply
    1,653.83x = 2,477.70 × 1,392.60
  4. Step 4: Simplify right side
    1,653.83x = 3,450,445.02
  5. Step 5: Solve for x
    x = 3,450,445.02/1,653.83
  6. Step 6: Final answer
    x = 2,086.34

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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.