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Finding the Fourth Proportional to 1,497.18, 2,065.80 and 999.19

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Solution

The fourth proportional to 1,497.18, 2,065.80 and 999.19 is: 1,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.18 : 2,065.80 = 999.19 : x
  2. Step 2: Convert to fraction form
    1,497.18/2,065.80 = 999.19/x
  3. Step 3: Cross multiply
    1,497.18x = 2,065.80 × 999.19
  4. Step 4: Simplify right side
    1,497.18x = 2,064,121.41
  5. Step 5: Solve for x
    x = 2,064,121.41/1,497.18
  6. Step 6: Final answer
    x = 1,378.67

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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.