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Finding the Fourth Proportional to 1,765.60, 2,435.16 and 1,206.52

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Solution

The fourth proportional to 1,765.60, 2,435.16 and 1,206.52 is: 1,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.60 : 2,435.16 = 1,206.52 : x
  2. Step 2: Convert to fraction form
    1,765.60/2,435.16 = 1,206.52/x
  3. Step 3: Cross multiply
    1,765.60x = 2,435.16 × 1,206.52
  4. Step 4: Simplify right side
    1,765.60x = 2,938,069.24
  5. Step 5: Solve for x
    x = 2,938,069.24/1,765.60
  6. Step 6: Final answer
    x = 1,664.06

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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.