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Finding the Fourth Proportional to 1,907.98, 2,861.98 and 521.46

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Solution

The fourth proportional to 1,907.98, 2,861.98 and 521.46 is: 782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.98 : 2,861.98 = 521.46 : x
  2. Step 2: Convert to fraction form
    1,907.98/2,861.98 = 521.46/x
  3. Step 3: Cross multiply
    1,907.98x = 2,861.98 × 521.46
  4. Step 4: Simplify right side
    1,907.98x = 1,492,417.77
  5. Step 5: Solve for x
    x = 1,492,417.77/1,907.98
  6. Step 6: Final answer
    x = 782.20

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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.