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Finding the Fourth Proportional to 1,671.42, 2,506.76 and 631.53

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Solution

The fourth proportional to 1,671.42, 2,506.76 and 631.53 is: 947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.42 : 2,506.76 = 631.53 : x
  2. Step 2: Convert to fraction form
    1,671.42/2,506.76 = 631.53/x
  3. Step 3: Cross multiply
    1,671.42x = 2,506.76 × 631.53
  4. Step 4: Simplify right side
    1,671.42x = 1,583,090.99
  5. Step 5: Solve for x
    x = 1,583,090.99/1,671.42
  6. Step 6: Final answer
    x = 947.15

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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.