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Finding the Fourth Proportional to 1,562.13, 2,156.09 and 899.01

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Solution

The fourth proportional to 1,562.13, 2,156.09 and 899.01 is: 1,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.13 : 2,156.09 = 899.01 : x
  2. Step 2: Convert to fraction form
    1,562.13/2,156.09 = 899.01/x
  3. Step 3: Cross multiply
    1,562.13x = 2,156.09 × 899.01
  4. Step 4: Simplify right side
    1,562.13x = 1,938,341.98
  5. Step 5: Solve for x
    x = 1,938,341.98/1,562.13
  6. Step 6: Final answer
    x = 1,240.83

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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.