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Finding the Fourth Proportional to 2,237.47, 3,353.81 and 1,415.98

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Solution

The fourth proportional to 2,237.47, 3,353.81 and 1,415.98 is: 2,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.47 : 3,353.81 = 1,415.98 : x
  2. Step 2: Convert to fraction form
    2,237.47/3,353.81 = 1,415.98/x
  3. Step 3: Cross multiply
    2,237.47x = 3,353.81 × 1,415.98
  4. Step 4: Simplify right side
    2,237.47x = 4,748,925.00
  5. Step 5: Solve for x
    x = 4,748,925.00/2,237.47
  6. Step 6: Final answer
    x = 2,122.45

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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.