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Finding the Fourth Proportional to 1,345.93, 1,856.76 and 786.42

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Solution

The fourth proportional to 1,345.93, 1,856.76 and 786.42 is: 1,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.93 : 1,856.76 = 786.42 : x
  2. Step 2: Convert to fraction form
    1,345.93/1,856.76 = 786.42/x
  3. Step 3: Cross multiply
    1,345.93x = 1,856.76 × 786.42
  4. Step 4: Simplify right side
    1,345.93x = 1,460,190.25
  5. Step 5: Solve for x
    x = 1,460,190.25/1,345.93
  6. Step 6: Final answer
    x = 1,084.90

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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.