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Finding the Fourth Proportional to 1,378.61, 2,054.76 and 1,300.77

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Solution

The fourth proportional to 1,378.61, 2,054.76 and 1,300.77 is: 1,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.61 : 2,054.76 = 1,300.77 : x
  2. Step 2: Convert to fraction form
    1,378.61/2,054.76 = 1,300.77/x
  3. Step 3: Cross multiply
    1,378.61x = 2,054.76 × 1,300.77
  4. Step 4: Simplify right side
    1,378.61x = 2,672,759.89
  5. Step 5: Solve for x
    x = 2,672,759.89/1,378.61
  6. Step 6: Final answer
    x = 1,938.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.