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Finding the Fourth Proportional to 1,670.47, 2,502.04 and 1,377.30

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Solution

The fourth proportional to 1,670.47, 2,502.04 and 1,377.30 is: 2,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.47 : 2,502.04 = 1,377.30 : x
  2. Step 2: Convert to fraction form
    1,670.47/2,502.04 = 1,377.30/x
  3. Step 3: Cross multiply
    1,670.47x = 2,502.04 × 1,377.30
  4. Step 4: Simplify right side
    1,670.47x = 3,446,068.21
  5. Step 5: Solve for x
    x = 3,446,068.21/1,670.47
  6. Step 6: Final answer
    x = 2,062.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.