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Finding the Fourth Proportional to 1,342.35, 2,013.58 and 368.53

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Solution

The fourth proportional to 1,342.35, 2,013.58 and 368.53 is: 552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.35 : 2,013.58 = 368.53 : x
  2. Step 2: Convert to fraction form
    1,342.35/2,013.58 = 368.53/x
  3. Step 3: Cross multiply
    1,342.35x = 2,013.58 × 368.53
  4. Step 4: Simplify right side
    1,342.35x = 742,057.99
  5. Step 5: Solve for x
    x = 742,057.99/1,342.35
  6. Step 6: Final answer
    x = 552.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.