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Finding the Fourth Proportional to 2,101.02, 3,152.34 and 946.50

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Solution

The fourth proportional to 2,101.02, 3,152.34 and 946.50 is: 1,420.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.02 : 3,152.34 = 946.50 : x
  2. Step 2: Convert to fraction form
    2,101.02/3,152.34 = 946.50/x
  3. Step 3: Cross multiply
    2,101.02x = 3,152.34 × 946.50
  4. Step 4: Simplify right side
    2,101.02x = 2,983,689.81
  5. Step 5: Solve for x
    x = 2,983,689.81/2,101.02
  6. Step 6: Final answer
    x = 1,420.11

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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.