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Finding the Fourth Proportional to 2,456.16, 3,683.90 and 790.45

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Solution

The fourth proportional to 2,456.16, 3,683.90 and 790.45 is: 1,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.16 : 3,683.90 = 790.45 : x
  2. Step 2: Convert to fraction form
    2,456.16/3,683.90 = 790.45/x
  3. Step 3: Cross multiply
    2,456.16x = 3,683.90 × 790.45
  4. Step 4: Simplify right side
    2,456.16x = 2,911,946.87
  5. Step 5: Solve for x
    x = 2,911,946.87/2,456.16
  6. Step 6: Final answer
    x = 1,185.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.