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Finding the Fourth Proportional to 1,886.77, 2,603.78 and 1,047.53

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Solution

The fourth proportional to 1,886.77, 2,603.78 and 1,047.53 is: 1,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.77 : 2,603.78 = 1,047.53 : x
  2. Step 2: Convert to fraction form
    1,886.77/2,603.78 = 1,047.53/x
  3. Step 3: Cross multiply
    1,886.77x = 2,603.78 × 1,047.53
  4. Step 4: Simplify right side
    1,886.77x = 2,727,529.17
  5. Step 5: Solve for x
    x = 2,727,529.17/1,886.77
  6. Step 6: Final answer
    x = 1,445.61

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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.