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Finding the Fourth Proportional to 2,648.99, 3,655.91 and 1,470.17

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Solution

The fourth proportional to 2,648.99, 3,655.91 and 1,470.17 is: 2,029.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.99 : 3,655.91 = 1,470.17 : x
  2. Step 2: Convert to fraction form
    2,648.99/3,655.91 = 1,470.17/x
  3. Step 3: Cross multiply
    2,648.99x = 3,655.91 × 1,470.17
  4. Step 4: Simplify right side
    2,648.99x = 5,374,822.02
  5. Step 5: Solve for x
    x = 5,374,822.02/2,648.99
  6. Step 6: Final answer
    x = 2,029.01

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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.