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Finding the Fourth Proportional to 2,905.39, 4,009.53 and 1,710.47

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Solution

The fourth proportional to 2,905.39, 4,009.53 and 1,710.47 is: 2,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.39 : 4,009.53 = 1,710.47 : x
  2. Step 2: Convert to fraction form
    2,905.39/4,009.53 = 1,710.47/x
  3. Step 3: Cross multiply
    2,905.39x = 4,009.53 × 1,710.47
  4. Step 4: Simplify right side
    2,905.39x = 6,858,180.78
  5. Step 5: Solve for x
    x = 6,858,180.78/2,905.39
  6. Step 6: Final answer
    x = 2,360.50

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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.