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Finding the Fourth Proportional to 1,710.34, 2,565.51 and 411.81

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Solution

The fourth proportional to 1,710.34, 2,565.51 and 411.81 is: 617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.34 : 2,565.51 = 411.81 : x
  2. Step 2: Convert to fraction form
    1,710.34/2,565.51 = 411.81/x
  3. Step 3: Cross multiply
    1,710.34x = 2,565.51 × 411.81
  4. Step 4: Simplify right side
    1,710.34x = 1,056,492.28
  5. Step 5: Solve for x
    x = 1,056,492.28/1,710.34
  6. Step 6: Final answer
    x = 617.71

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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.