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Finding the Fourth Proportional to 1,670.16, 2,304.90 and 971.76

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Solution

The fourth proportional to 1,670.16, 2,304.90 and 971.76 is: 1,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.16 : 2,304.90 = 971.76 : x
  2. Step 2: Convert to fraction form
    1,670.16/2,304.90 = 971.76/x
  3. Step 3: Cross multiply
    1,670.16x = 2,304.90 × 971.76
  4. Step 4: Simplify right side
    1,670.16x = 2,239,809.62
  5. Step 5: Solve for x
    x = 2,239,809.62/1,670.16
  6. Step 6: Final answer
    x = 1,341.07

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