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Finding the Fourth Proportional to 2,333.61, 3,499.47 and 947.63

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Solution

The fourth proportional to 2,333.61, 3,499.47 and 947.63 is: 1,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.61 : 3,499.47 = 947.63 : x
  2. Step 2: Convert to fraction form
    2,333.61/3,499.47 = 947.63/x
  3. Step 3: Cross multiply
    2,333.61x = 3,499.47 × 947.63
  4. Step 4: Simplify right side
    2,333.61x = 3,316,211.50
  5. Step 5: Solve for x
    x = 3,316,211.50/2,333.61
  6. Step 6: Final answer
    x = 1,421.07

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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.