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Finding the Fourth Proportional to 1,533.02, 2,298.92 and 988.70

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Solution

The fourth proportional to 1,533.02, 2,298.92 and 988.70 is: 1,482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.02 : 2,298.92 = 988.70 : x
  2. Step 2: Convert to fraction form
    1,533.02/2,298.92 = 988.70/x
  3. Step 3: Cross multiply
    1,533.02x = 2,298.92 × 988.70
  4. Step 4: Simplify right side
    1,533.02x = 2,272,942.20
  5. Step 5: Solve for x
    x = 2,272,942.20/1,533.02
  6. Step 6: Final answer
    x = 1,482.66

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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.