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Finding the Fourth Proportional to 1,530.11, 2,111.10 and 866.95

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Solution

The fourth proportional to 1,530.11, 2,111.10 and 866.95 is: 1,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.11 : 2,111.10 = 866.95 : x
  2. Step 2: Convert to fraction form
    1,530.11/2,111.10 = 866.95/x
  3. Step 3: Cross multiply
    1,530.11x = 2,111.10 × 866.95
  4. Step 4: Simplify right side
    1,530.11x = 1,830,220.31
  5. Step 5: Solve for x
    x = 1,830,220.31/1,530.11
  6. Step 6: Final answer
    x = 1,196.13

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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.