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Finding the Fourth Proportional to 1,675.42, 2,312.22 and 976.84

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Solution

The fourth proportional to 1,675.42, 2,312.22 and 976.84 is: 1,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.42 : 2,312.22 = 976.84 : x
  2. Step 2: Convert to fraction form
    1,675.42/2,312.22 = 976.84/x
  3. Step 3: Cross multiply
    1,675.42x = 2,312.22 × 976.84
  4. Step 4: Simplify right side
    1,675.42x = 2,258,668.98
  5. Step 5: Solve for x
    x = 2,258,668.98/1,675.42
  6. Step 6: Final answer
    x = 1,348.12

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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.