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Finding the Fourth Proportional to 1,830.40, 2,525.93 and 991.08

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Solution

The fourth proportional to 1,830.40, 2,525.93 and 991.08 is: 1,367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.40 : 2,525.93 = 991.08 : x
  2. Step 2: Convert to fraction form
    1,830.40/2,525.93 = 991.08/x
  3. Step 3: Cross multiply
    1,830.40x = 2,525.93 × 991.08
  4. Step 4: Simplify right side
    1,830.40x = 2,503,381.12
  5. Step 5: Solve for x
    x = 2,503,381.12/1,830.40
  6. Step 6: Final answer
    x = 1,367.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.