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Finding the Fourth Proportional to 1,670.88, 2,304.72 and 971.76

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Solution

The fourth proportional to 1,670.88, 2,304.72 and 971.76 is: 1,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.88 : 2,304.72 = 971.76 : x
  2. Step 2: Convert to fraction form
    1,670.88/2,304.72 = 971.76/x
  3. Step 3: Cross multiply
    1,670.88x = 2,304.72 × 971.76
  4. Step 4: Simplify right side
    1,670.88x = 2,239,634.71
  5. Step 5: Solve for x
    x = 2,239,634.71/1,670.88
  6. Step 6: Final answer
    x = 1,340.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.