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Finding the Fourth Proportional to 1,746.16, 2,618.63 and 575.91

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Solution

The fourth proportional to 1,746.16, 2,618.63 and 575.91 is: 863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.16 : 2,618.63 = 575.91 : x
  2. Step 2: Convert to fraction form
    1,746.16/2,618.63 = 575.91/x
  3. Step 3: Cross multiply
    1,746.16x = 2,618.63 × 575.91
  4. Step 4: Simplify right side
    1,746.16x = 1,508,094.48
  5. Step 5: Solve for x
    x = 1,508,094.48/1,746.16
  6. Step 6: Final answer
    x = 863.66

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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.