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Finding the Fourth Proportional to 1,758.44, 2,430.80 and 1,655.16

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Solution

The fourth proportional to 1,758.44, 2,430.80 and 1,655.16 is: 2,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.44 : 2,430.80 = 1,655.16 : x
  2. Step 2: Convert to fraction form
    1,758.44/2,430.80 = 1,655.16/x
  3. Step 3: Cross multiply
    1,758.44x = 2,430.80 × 1,655.16
  4. Step 4: Simplify right side
    1,758.44x = 4,023,362.93
  5. Step 5: Solve for x
    x = 4,023,362.93/1,758.44
  6. Step 6: Final answer
    x = 2,288.03

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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.