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Finding the Fourth Proportional to 1,741.64, 2,612.91 and 646.32

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Solution

The fourth proportional to 1,741.64, 2,612.91 and 646.32 is: 969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.64 : 2,612.91 = 646.32 : x
  2. Step 2: Convert to fraction form
    1,741.64/2,612.91 = 646.32/x
  3. Step 3: Cross multiply
    1,741.64x = 2,612.91 × 646.32
  4. Step 4: Simplify right side
    1,741.64x = 1,688,775.99
  5. Step 5: Solve for x
    x = 1,688,775.99/1,741.64
  6. Step 6: Final answer
    x = 969.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.