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Finding the Fourth Proportional to 1,938.95, 2,675.78 and 1,054.77

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Solution

The fourth proportional to 1,938.95, 2,675.78 and 1,054.77 is: 1,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.95 : 2,675.78 = 1,054.77 : x
  2. Step 2: Convert to fraction form
    1,938.95/2,675.78 = 1,054.77/x
  3. Step 3: Cross multiply
    1,938.95x = 2,675.78 × 1,054.77
  4. Step 4: Simplify right side
    1,938.95x = 2,822,332.47
  5. Step 5: Solve for x
    x = 2,822,332.47/1,938.95
  6. Step 6: Final answer
    x = 1,455.60

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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.