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Finding the Fourth Proportional to 1,562.11, 2,156.13 and 899.06

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Solution

The fourth proportional to 1,562.11, 2,156.13 and 899.06 is: 1,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.11 : 2,156.13 = 899.06 : x
  2. Step 2: Convert to fraction form
    1,562.11/2,156.13 = 899.06/x
  3. Step 3: Cross multiply
    1,562.11x = 2,156.13 × 899.06
  4. Step 4: Simplify right side
    1,562.11x = 1,938,495.88
  5. Step 5: Solve for x
    x = 1,938,495.88/1,562.11
  6. Step 6: Final answer
    x = 1,240.95

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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.