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Finding the Fourth Proportional to 1,488.61, 2,054.28 and 899.03

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Solution

The fourth proportional to 1,488.61, 2,054.28 and 899.03 is: 1,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.61 : 2,054.28 = 899.03 : x
  2. Step 2: Convert to fraction form
    1,488.61/2,054.28 = 899.03/x
  3. Step 3: Cross multiply
    1,488.61x = 2,054.28 × 899.03
  4. Step 4: Simplify right side
    1,488.61x = 1,846,864.48
  5. Step 5: Solve for x
    x = 1,846,864.48/1,488.61
  6. Step 6: Final answer
    x = 1,240.67

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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.