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Finding the Fourth Proportional to 1,500.93, 2,071.36 and 1,003.77

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Solution

The fourth proportional to 1,500.93, 2,071.36 and 1,003.77 is: 1,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.93 : 2,071.36 = 1,003.77 : x
  2. Step 2: Convert to fraction form
    1,500.93/2,071.36 = 1,003.77/x
  3. Step 3: Cross multiply
    1,500.93x = 2,071.36 × 1,003.77
  4. Step 4: Simplify right side
    1,500.93x = 2,079,164.01
  5. Step 5: Solve for x
    x = 2,079,164.01/1,500.93
  6. Step 6: Final answer
    x = 1,385.25

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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.