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Finding the Fourth Proportional to 1,670.34, 2,506.74 and 631.36

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Solution

The fourth proportional to 1,670.34, 2,506.74 and 631.36 is: 947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.34 : 2,506.74 = 631.36 : x
  2. Step 2: Convert to fraction form
    1,670.34/2,506.74 = 631.36/x
  3. Step 3: Cross multiply
    1,670.34x = 2,506.74 × 631.36
  4. Step 4: Simplify right side
    1,670.34x = 1,582,655.37
  5. Step 5: Solve for x
    x = 1,582,655.37/1,670.34
  6. Step 6: Final answer
    x = 947.50

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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.