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Finding the Fourth Proportional to 1,946.45, 2,920.14 and 647.93

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Solution

The fourth proportional to 1,946.45, 2,920.14 and 647.93 is: 972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.45 : 2,920.14 = 647.93 : x
  2. Step 2: Convert to fraction form
    1,946.45/2,920.14 = 647.93/x
  3. Step 3: Cross multiply
    1,946.45x = 2,920.14 × 647.93
  4. Step 4: Simplify right side
    1,946.45x = 1,892,046.31
  5. Step 5: Solve for x
    x = 1,892,046.31/1,946.45
  6. Step 6: Final answer
    x = 972.05

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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.