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Finding the Fourth Proportional to 1,731.65, 2,596.91 and 561.40

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Solution

The fourth proportional to 1,731.65, 2,596.91 and 561.40 is: 841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.65 : 2,596.91 = 561.40 : x
  2. Step 2: Convert to fraction form
    1,731.65/2,596.91 = 561.40/x
  3. Step 3: Cross multiply
    1,731.65x = 2,596.91 × 561.40
  4. Step 4: Simplify right side
    1,731.65x = 1,457,905.27
  5. Step 5: Solve for x
    x = 1,457,905.27/1,731.65
  6. Step 6: Final answer
    x = 841.92

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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.