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Finding the Fourth Proportional to 1,530.87, 2,111.99 and 999.58

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Solution

The fourth proportional to 1,530.87, 2,111.99 and 999.58 is: 1,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.87 : 2,111.99 = 999.58 : x
  2. Step 2: Convert to fraction form
    1,530.87/2,111.99 = 999.58/x
  3. Step 3: Cross multiply
    1,530.87x = 2,111.99 × 999.58
  4. Step 4: Simplify right side
    1,530.87x = 2,111,099.46
  5. Step 5: Solve for x
    x = 2,111,099.46/1,530.87
  6. Step 6: Final answer
    x = 1,379.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.