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Finding the Fourth Proportional to 1,146.14, 1,580.86 and 1,051.92

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Solution

The fourth proportional to 1,146.14, 1,580.86 and 1,051.92 is: 1,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.14 : 1,580.86 = 1,051.92 : x
  2. Step 2: Convert to fraction form
    1,146.14/1,580.86 = 1,051.92/x
  3. Step 3: Cross multiply
    1,146.14x = 1,580.86 × 1,051.92
  4. Step 4: Simplify right side
    1,146.14x = 1,662,929.69
  5. Step 5: Solve for x
    x = 1,662,929.69/1,146.14
  6. Step 6: Final answer
    x = 1,450.89

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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.