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Finding the Fourth Proportional to 1,418.32, 2,126.40 and 802.72

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Solution

The fourth proportional to 1,418.32, 2,126.40 and 802.72 is: 1,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.32 : 2,126.40 = 802.72 : x
  2. Step 2: Convert to fraction form
    1,418.32/2,126.40 = 802.72/x
  3. Step 3: Cross multiply
    1,418.32x = 2,126.40 × 802.72
  4. Step 4: Simplify right side
    1,418.32x = 1,706,903.81
  5. Step 5: Solve for x
    x = 1,706,903.81/1,418.32
  6. Step 6: Final answer
    x = 1,203.47

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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.