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Finding the Fourth Proportional to 1,746.37, 2,618.45 and 649.83

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Solution

The fourth proportional to 1,746.37, 2,618.45 and 649.83 is: 974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.37 : 2,618.45 = 649.83 : x
  2. Step 2: Convert to fraction form
    1,746.37/2,618.45 = 649.83/x
  3. Step 3: Cross multiply
    1,746.37x = 2,618.45 × 649.83
  4. Step 4: Simplify right side
    1,746.37x = 1,701,547.36
  5. Step 5: Solve for x
    x = 1,701,547.36/1,746.37
  6. Step 6: Final answer
    x = 974.34

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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.