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Finding the Fourth Proportional to 1,670.61, 2,303.82 and 1,506.54

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Solution

The fourth proportional to 1,670.61, 2,303.82 and 1,506.54 is: 2,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.61 : 2,303.82 = 1,506.54 : x
  2. Step 2: Convert to fraction form
    1,670.61/2,303.82 = 1,506.54/x
  3. Step 3: Cross multiply
    1,670.61x = 2,303.82 × 1,506.54
  4. Step 4: Simplify right side
    1,670.61x = 3,470,796.98
  5. Step 5: Solve for x
    x = 3,470,796.98/1,670.61
  6. Step 6: Final answer
    x = 2,077.56

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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.