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Finding the Fourth Proportional to 1,730.65, 2,388.28 and 944.68

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Solution

The fourth proportional to 1,730.65, 2,388.28 and 944.68 is: 1,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.65 : 2,388.28 = 944.68 : x
  2. Step 2: Convert to fraction form
    1,730.65/2,388.28 = 944.68/x
  3. Step 3: Cross multiply
    1,730.65x = 2,388.28 × 944.68
  4. Step 4: Simplify right side
    1,730.65x = 2,256,160.35
  5. Step 5: Solve for x
    x = 2,256,160.35/1,730.65
  6. Step 6: Final answer
    x = 1,303.65

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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.