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Finding the Fourth Proportional to 1,530.04, 2,111.42 and 866.83

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Solution

The fourth proportional to 1,530.04, 2,111.42 and 866.83 is: 1,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.04 : 2,111.42 = 866.83 : x
  2. Step 2: Convert to fraction form
    1,530.04/2,111.42 = 866.83/x
  3. Step 3: Cross multiply
    1,530.04x = 2,111.42 × 866.83
  4. Step 4: Simplify right side
    1,530.04x = 1,830,237.86
  5. Step 5: Solve for x
    x = 1,830,237.86/1,530.04
  6. Step 6: Final answer
    x = 1,196.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.