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Finding the Fourth Proportional to 1,602.42, 2,210.51 and 1,304.00

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Solution

The fourth proportional to 1,602.42, 2,210.51 and 1,304.00 is: 1,798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.42 : 2,210.51 = 1,304.00 : x
  2. Step 2: Convert to fraction form
    1,602.42/2,210.51 = 1,304.00/x
  3. Step 3: Cross multiply
    1,602.42x = 2,210.51 × 1,304.00
  4. Step 4: Simplify right side
    1,602.42x = 2,882,487.47
  5. Step 5: Solve for x
    x = 2,882,487.47/1,602.42
  6. Step 6: Final answer
    x = 1,798.83

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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.