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Finding the Fourth Proportional to 1,827.66, 2,522.47 and 1,358.67

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Solution

The fourth proportional to 1,827.66, 2,522.47 and 1,358.67 is: 1,875.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.66 : 2,522.47 = 1,358.67 : x
  2. Step 2: Convert to fraction form
    1,827.66/2,522.47 = 1,358.67/x
  3. Step 3: Cross multiply
    1,827.66x = 2,522.47 × 1,358.67
  4. Step 4: Simplify right side
    1,827.66x = 3,427,204.31
  5. Step 5: Solve for x
    x = 3,427,204.31/1,827.66
  6. Step 6: Final answer
    x = 1,875.19

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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.