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Finding the Fourth Proportional to 1,670.70, 2,303.19 and 1,297.02

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Solution

The fourth proportional to 1,670.70, 2,303.19 and 1,297.02 is: 1,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.70 : 2,303.19 = 1,297.02 : x
  2. Step 2: Convert to fraction form
    1,670.70/2,303.19 = 1,297.02/x
  3. Step 3: Cross multiply
    1,670.70x = 2,303.19 × 1,297.02
  4. Step 4: Simplify right side
    1,670.70x = 2,987,283.49
  5. Step 5: Solve for x
    x = 2,987,283.49/1,670.70
  6. Step 6: Final answer
    x = 1,788.04

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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.