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Finding the Fourth Proportional to 1,569.01, 2,165.19 and 887.74

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Solution

The fourth proportional to 1,569.01, 2,165.19 and 887.74 is: 1,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.01 : 2,165.19 = 887.74 : x
  2. Step 2: Convert to fraction form
    1,569.01/2,165.19 = 887.74/x
  3. Step 3: Cross multiply
    1,569.01x = 2,165.19 × 887.74
  4. Step 4: Simplify right side
    1,569.01x = 1,922,125.77
  5. Step 5: Solve for x
    x = 1,922,125.77/1,569.01
  6. Step 6: Final answer
    x = 1,225.06

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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.