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Finding the Fourth Proportional to 1,506.23, 2,079.35 and 947.51

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Solution

The fourth proportional to 1,506.23, 2,079.35 and 947.51 is: 1,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.23 : 2,079.35 = 947.51 : x
  2. Step 2: Convert to fraction form
    1,506.23/2,079.35 = 947.51/x
  3. Step 3: Cross multiply
    1,506.23x = 2,079.35 × 947.51
  4. Step 4: Simplify right side
    1,506.23x = 1,970,189.78
  5. Step 5: Solve for x
    x = 1,970,189.78/1,506.23
  6. Step 6: Final answer
    x = 1,308.03

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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.