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Finding the Fourth Proportional to 1,585.36, 2,366.49 and 1,455.36

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Solution

The fourth proportional to 1,585.36, 2,366.49 and 1,455.36 is: 2,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.36 : 2,366.49 = 1,455.36 : x
  2. Step 2: Convert to fraction form
    1,585.36/2,366.49 = 1,455.36/x
  3. Step 3: Cross multiply
    1,585.36x = 2,366.49 × 1,455.36
  4. Step 4: Simplify right side
    1,585.36x = 3,444,094.89
  5. Step 5: Solve for x
    x = 3,444,094.89/1,585.36
  6. Step 6: Final answer
    x = 2,172.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.