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Finding the Fourth Proportional to 1,985.90, 2,979.08 and 525.16

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Solution

The fourth proportional to 1,985.90, 2,979.08 and 525.16 is: 787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.90 : 2,979.08 = 525.16 : x
  2. Step 2: Convert to fraction form
    1,985.90/2,979.08 = 525.16/x
  3. Step 3: Cross multiply
    1,985.90x = 2,979.08 × 525.16
  4. Step 4: Simplify right side
    1,985.90x = 1,564,493.65
  5. Step 5: Solve for x
    x = 1,564,493.65/1,985.90
  6. Step 6: Final answer
    x = 787.80

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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.