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Finding the Fourth Proportional to 1,497.47, 2,245.35 and 619.47

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Solution

The fourth proportional to 1,497.47, 2,245.35 and 619.47 is: 928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.47 : 2,245.35 = 619.47 : x
  2. Step 2: Convert to fraction form
    1,497.47/2,245.35 = 619.47/x
  3. Step 3: Cross multiply
    1,497.47x = 2,245.35 × 619.47
  4. Step 4: Simplify right side
    1,497.47x = 1,390,929.29
  5. Step 5: Solve for x
    x = 1,390,929.29/1,497.47
  6. Step 6: Final answer
    x = 928.86

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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.