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Finding the Fourth Proportional to 1,574.16, 2,364.48 and 1,301.22

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Solution

The fourth proportional to 1,574.16, 2,364.48 and 1,301.22 is: 1,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.16 : 2,364.48 = 1,301.22 : x
  2. Step 2: Convert to fraction form
    1,574.16/2,364.48 = 1,301.22/x
  3. Step 3: Cross multiply
    1,574.16x = 2,364.48 × 1,301.22
  4. Step 4: Simplify right side
    1,574.16x = 3,076,708.67
  5. Step 5: Solve for x
    x = 3,076,708.67/1,574.16
  6. Step 6: Final answer
    x = 1,954.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.