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Finding the Fourth Proportional to 1,948.45, 2,923.17 and 561.89

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Solution

The fourth proportional to 1,948.45, 2,923.17 and 561.89 is: 842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.45 : 2,923.17 = 561.89 : x
  2. Step 2: Convert to fraction form
    1,948.45/2,923.17 = 561.89/x
  3. Step 3: Cross multiply
    1,948.45x = 2,923.17 × 561.89
  4. Step 4: Simplify right side
    1,948.45x = 1,642,509.41
  5. Step 5: Solve for x
    x = 1,642,509.41/1,948.45
  6. Step 6: Final answer
    x = 842.98

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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.