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Finding the Fourth Proportional to 1,376.61, 1,901.26 and 933.74

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Solution

The fourth proportional to 1,376.61, 1,901.26 and 933.74 is: 1,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.61 : 1,901.26 = 933.74 : x
  2. Step 2: Convert to fraction form
    1,376.61/1,901.26 = 933.74/x
  3. Step 3: Cross multiply
    1,376.61x = 1,901.26 × 933.74
  4. Step 4: Simplify right side
    1,376.61x = 1,775,282.51
  5. Step 5: Solve for x
    x = 1,775,282.51/1,376.61
  6. Step 6: Final answer
    x = 1,289.60

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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.