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Finding the Fourth Proportional to 1,583.02, 2,374.80 and 1,097.02

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Solution

The fourth proportional to 1,583.02, 2,374.80 and 1,097.02 is: 1,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.02 : 2,374.80 = 1,097.02 : x
  2. Step 2: Convert to fraction form
    1,583.02/2,374.80 = 1,097.02/x
  3. Step 3: Cross multiply
    1,583.02x = 2,374.80 × 1,097.02
  4. Step 4: Simplify right side
    1,583.02x = 2,605,203.10
  5. Step 5: Solve for x
    x = 2,605,203.10/1,583.02
  6. Step 6: Final answer
    x = 1,645.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.