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Finding the Fourth Proportional to 1,562.47, 2,156.20 and 899.45

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Solution

The fourth proportional to 1,562.47, 2,156.20 and 899.45 is: 1,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.47 : 2,156.20 = 899.45 : x
  2. Step 2: Convert to fraction form
    1,562.47/2,156.20 = 899.45/x
  3. Step 3: Cross multiply
    1,562.47x = 2,156.20 × 899.45
  4. Step 4: Simplify right side
    1,562.47x = 1,939,406.33
  5. Step 5: Solve for x
    x = 1,939,406.33/1,562.47
  6. Step 6: Final answer
    x = 1,241.24

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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.