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Finding the Fourth Proportional to 1,712.34, 2,567.70 and 981.72

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Solution

The fourth proportional to 1,712.34, 2,567.70 and 981.72 is: 1,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.34 : 2,567.70 = 981.72 : x
  2. Step 2: Convert to fraction form
    1,712.34/2,567.70 = 981.72/x
  3. Step 3: Cross multiply
    1,712.34x = 2,567.70 × 981.72
  4. Step 4: Simplify right side
    1,712.34x = 2,520,762.44
  5. Step 5: Solve for x
    x = 2,520,762.44/1,712.34
  6. Step 6: Final answer
    x = 1,472.12

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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.