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Finding the Fourth Proportional to 2,606.48, 3,596.95 and 1,427.60

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Solution

The fourth proportional to 2,606.48, 3,596.95 and 1,427.60 is: 1,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.48 : 3,596.95 = 1,427.60 : x
  2. Step 2: Convert to fraction form
    2,606.48/3,596.95 = 1,427.60/x
  3. Step 3: Cross multiply
    2,606.48x = 3,596.95 × 1,427.60
  4. Step 4: Simplify right side
    2,606.48x = 5,134,992.35
  5. Step 5: Solve for x
    x = 5,134,992.35/2,606.48
  6. Step 6: Final answer
    x = 1,970.08

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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.