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Finding the Fourth Proportional to 1,499.04, 2,069.10 and 974.88

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Solution

The fourth proportional to 1,499.04, 2,069.10 and 974.88 is: 1,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.04 : 2,069.10 = 974.88 : x
  2. Step 2: Convert to fraction form
    1,499.04/2,069.10 = 974.88/x
  3. Step 3: Cross multiply
    1,499.04x = 2,069.10 × 974.88
  4. Step 4: Simplify right side
    1,499.04x = 2,017,124.21
  5. Step 5: Solve for x
    x = 2,017,124.21/1,499.04
  6. Step 6: Final answer
    x = 1,345.61

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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.