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Finding the Fourth Proportional to 2,152.34, 2,969.69 and 1,312.99

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Solution

The fourth proportional to 2,152.34, 2,969.69 and 1,312.99 is: 1,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.34 : 2,969.69 = 1,312.99 : x
  2. Step 2: Convert to fraction form
    2,152.34/2,969.69 = 1,312.99/x
  3. Step 3: Cross multiply
    2,152.34x = 2,969.69 × 1,312.99
  4. Step 4: Simplify right side
    2,152.34x = 3,899,170.42
  5. Step 5: Solve for x
    x = 3,899,170.42/2,152.34
  6. Step 6: Final answer
    x = 1,811.59

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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.