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Finding the Fourth Proportional to 1,470.51, 2,031.53 and 967.59

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Solution

The fourth proportional to 1,470.51, 2,031.53 and 967.59 is: 1,336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.51 : 2,031.53 = 967.59 : x
  2. Step 2: Convert to fraction form
    1,470.51/2,031.53 = 967.59/x
  3. Step 3: Cross multiply
    1,470.51x = 2,031.53 × 967.59
  4. Step 4: Simplify right side
    1,470.51x = 1,965,683.27
  5. Step 5: Solve for x
    x = 1,965,683.27/1,470.51
  6. Step 6: Final answer
    x = 1,336.74

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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.