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Finding the Fourth Proportional to 1,127.06, 1,678.03 and 1,110.86

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Solution

The fourth proportional to 1,127.06, 1,678.03 and 1,110.86 is: 1,653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.06 : 1,678.03 = 1,110.86 : x
  2. Step 2: Convert to fraction form
    1,127.06/1,678.03 = 1,110.86/x
  3. Step 3: Cross multiply
    1,127.06x = 1,678.03 × 1,110.86
  4. Step 4: Simplify right side
    1,127.06x = 1,864,050.85
  5. Step 5: Solve for x
    x = 1,864,050.85/1,127.06
  6. Step 6: Final answer
    x = 1,653.91

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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.