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Finding the Fourth Proportional to 4,952.84, 7,429.08 and 1,490

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Solution

The fourth proportional to 4,952.84, 7,429.08 and 1,490 is: 2,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.84 : 7,429.08 = 1,490 : x
  2. Step 2: Convert to fraction form
    4,952.84/7,429.08 = 1,490/x
  3. Step 3: Cross multiply
    4,952.84x = 7,429.08 × 1,490
  4. Step 4: Simplify right side
    4,952.84x = 11,069,329.20
  5. Step 5: Solve for x
    x = 11,069,329.20/4,952.84
  6. Step 6: Final answer
    x = 2,234.95

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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.