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Finding the Fourth Proportional to 1,829.61, 2,525.10 and 1,200.67

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Solution

The fourth proportional to 1,829.61, 2,525.10 and 1,200.67 is: 1,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.61 : 2,525.10 = 1,200.67 : x
  2. Step 2: Convert to fraction form
    1,829.61/2,525.10 = 1,200.67/x
  3. Step 3: Cross multiply
    1,829.61x = 2,525.10 × 1,200.67
  4. Step 4: Simplify right side
    1,829.61x = 3,031,818.58
  5. Step 5: Solve for x
    x = 3,031,818.58/1,829.61
  6. Step 6: Final answer
    x = 1,657.08

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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.