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Finding the Fourth Proportional to 1,990.73, 2,985.86 and 530.00

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Solution

The fourth proportional to 1,990.73, 2,985.86 and 530.00 is: 794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.73 : 2,985.86 = 530.00 : x
  2. Step 2: Convert to fraction form
    1,990.73/2,985.86 = 530.00/x
  3. Step 3: Cross multiply
    1,990.73x = 2,985.86 × 530.00
  4. Step 4: Simplify right side
    1,990.73x = 1,582,488.22
  5. Step 5: Solve for x
    x = 1,582,488.22/1,990.73
  6. Step 6: Final answer
    x = 794.93

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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.