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Finding the Fourth Proportional to 1,746.15, 2,619.18 and 429.91

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Solution

The fourth proportional to 1,746.15, 2,619.18 and 429.91 is: 644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.15 : 2,619.18 = 429.91 : x
  2. Step 2: Convert to fraction form
    1,746.15/2,619.18 = 429.91/x
  3. Step 3: Cross multiply
    1,746.15x = 2,619.18 × 429.91
  4. Step 4: Simplify right side
    1,746.15x = 1,126,011.67
  5. Step 5: Solve for x
    x = 1,126,011.67/1,746.15
  6. Step 6: Final answer
    x = 644.85

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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.