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Finding the Fourth Proportional to 1,670.29, 2,303.93 and 1,146.61

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Solution

The fourth proportional to 1,670.29, 2,303.93 and 1,146.61 is: 1,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.29 : 2,303.93 = 1,146.61 : x
  2. Step 2: Convert to fraction form
    1,670.29/2,303.93 = 1,146.61/x
  3. Step 3: Cross multiply
    1,670.29x = 2,303.93 × 1,146.61
  4. Step 4: Simplify right side
    1,670.29x = 2,641,703.44
  5. Step 5: Solve for x
    x = 2,641,703.44/1,670.29
  6. Step 6: Final answer
    x = 1,581.58

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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.