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Finding the Fourth Proportional to 1,576.87, 2,368.95 and 1,365.46

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Solution

The fourth proportional to 1,576.87, 2,368.95 and 1,365.46 is: 2,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.87 : 2,368.95 = 1,365.46 : x
  2. Step 2: Convert to fraction form
    1,576.87/2,368.95 = 1,365.46/x
  3. Step 3: Cross multiply
    1,576.87x = 2,368.95 × 1,365.46
  4. Step 4: Simplify right side
    1,576.87x = 3,234,695.42
  5. Step 5: Solve for x
    x = 3,234,695.42/1,576.87
  6. Step 6: Final answer
    x = 2,051.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.