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Finding the Fourth Proportional to 1,946.37, 2,917.67 and 647.13

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Solution

The fourth proportional to 1,946.37, 2,917.67 and 647.13 is: 970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.37 : 2,917.67 = 647.13 : x
  2. Step 2: Convert to fraction form
    1,946.37/2,917.67 = 647.13/x
  3. Step 3: Cross multiply
    1,946.37x = 2,917.67 × 647.13
  4. Step 4: Simplify right side
    1,946.37x = 1,888,108.55
  5. Step 5: Solve for x
    x = 1,888,108.55/1,946.37
  6. Step 6: Final answer
    x = 970.07

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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.