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Finding the Fourth Proportional to 2,470.07, 3,409.02 and 1,588.44

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Solution

The fourth proportional to 2,470.07, 3,409.02 and 1,588.44 is: 2,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.07 : 3,409.02 = 1,588.44 : x
  2. Step 2: Convert to fraction form
    2,470.07/3,409.02 = 1,588.44/x
  3. Step 3: Cross multiply
    2,470.07x = 3,409.02 × 1,588.44
  4. Step 4: Simplify right side
    2,470.07x = 5,415,014.45
  5. Step 5: Solve for x
    x = 5,415,014.45/2,470.07
  6. Step 6: Final answer
    x = 2,192.25

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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.