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Finding the Fourth Proportional to 2,210.64, 3,316.23 and 749.94

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Solution

The fourth proportional to 2,210.64, 3,316.23 and 749.94 is: 1,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.64 : 3,316.23 = 749.94 : x
  2. Step 2: Convert to fraction form
    2,210.64/3,316.23 = 749.94/x
  3. Step 3: Cross multiply
    2,210.64x = 3,316.23 × 749.94
  4. Step 4: Simplify right side
    2,210.64x = 2,486,973.53
  5. Step 5: Solve for x
    x = 2,486,973.53/2,210.64
  6. Step 6: Final answer
    x = 1,125.00

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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.