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Finding the Fourth Proportional to 1,821.60, 2,516.13 and 1,528.38

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Solution

The fourth proportional to 1,821.60, 2,516.13 and 1,528.38 is: 2,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.60 : 2,516.13 = 1,528.38 : x
  2. Step 2: Convert to fraction form
    1,821.60/2,516.13 = 1,528.38/x
  3. Step 3: Cross multiply
    1,821.60x = 2,516.13 × 1,528.38
  4. Step 4: Simplify right side
    1,821.60x = 3,845,602.77
  5. Step 5: Solve for x
    x = 3,845,602.77/1,821.60
  6. Step 6: Final answer
    x = 2,111.11

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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.