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Finding the Fourth Proportional to 1,566.36, 2,343.62 and 973.48

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Solution

The fourth proportional to 1,566.36, 2,343.62 and 973.48 is: 1,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.36 : 2,343.62 = 973.48 : x
  2. Step 2: Convert to fraction form
    1,566.36/2,343.62 = 973.48/x
  3. Step 3: Cross multiply
    1,566.36x = 2,343.62 × 973.48
  4. Step 4: Simplify right side
    1,566.36x = 2,281,467.20
  5. Step 5: Solve for x
    x = 2,281,467.20/1,566.36
  6. Step 6: Final answer
    x = 1,456.54

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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.