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Finding the Fourth Proportional to 1,701.84, 2,552.28 and 468.95

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Solution

The fourth proportional to 1,701.84, 2,552.28 and 468.95 is: 703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.84 : 2,552.28 = 468.95 : x
  2. Step 2: Convert to fraction form
    1,701.84/2,552.28 = 468.95/x
  3. Step 3: Cross multiply
    1,701.84x = 2,552.28 × 468.95
  4. Step 4: Simplify right side
    1,701.84x = 1,196,891.71
  5. Step 5: Solve for x
    x = 1,196,891.71/1,701.84
  6. Step 6: Final answer
    x = 703.29

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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.