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Finding the Fourth Proportional to 1,530.63, 2,300.54 and 1,498.23

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Solution

The fourth proportional to 1,530.63, 2,300.54 and 1,498.23 is: 2,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.63 : 2,300.54 = 1,498.23 : x
  2. Step 2: Convert to fraction form
    1,530.63/2,300.54 = 1,498.23/x
  3. Step 3: Cross multiply
    1,530.63x = 2,300.54 × 1,498.23
  4. Step 4: Simplify right side
    1,530.63x = 3,446,730.55
  5. Step 5: Solve for x
    x = 3,446,730.55/1,530.63
  6. Step 6: Final answer
    x = 2,251.84

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