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Finding the Fourth Proportional to 1,773.06, 2,645.74 and 1,588.58

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Solution

The fourth proportional to 1,773.06, 2,645.74 and 1,588.58 is: 2,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.06 : 2,645.74 = 1,588.58 : x
  2. Step 2: Convert to fraction form
    1,773.06/2,645.74 = 1,588.58/x
  3. Step 3: Cross multiply
    1,773.06x = 2,645.74 × 1,588.58
  4. Step 4: Simplify right side
    1,773.06x = 4,202,969.65
  5. Step 5: Solve for x
    x = 4,202,969.65/1,773.06
  6. Step 6: Final answer
    x = 2,370.46

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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.