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Finding the Fourth Proportional to 1,615.64, 2,402.88 and 1,598.36

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Solution

The fourth proportional to 1,615.64, 2,402.88 and 1,598.36 is: 2,377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.64 : 2,402.88 = 1,598.36 : x
  2. Step 2: Convert to fraction form
    1,615.64/2,402.88 = 1,598.36/x
  3. Step 3: Cross multiply
    1,615.64x = 2,402.88 × 1,598.36
  4. Step 4: Simplify right side
    1,615.64x = 3,840,667.28
  5. Step 5: Solve for x
    x = 3,840,667.28/1,615.64
  6. Step 6: Final answer
    x = 2,377.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.