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Finding the Fourth Proportional to 1,533.61, 2,117.16 and 944.49

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Solution

The fourth proportional to 1,533.61, 2,117.16 and 944.49 is: 1,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.61 : 2,117.16 = 944.49 : x
  2. Step 2: Convert to fraction form
    1,533.61/2,117.16 = 944.49/x
  3. Step 3: Cross multiply
    1,533.61x = 2,117.16 × 944.49
  4. Step 4: Simplify right side
    1,533.61x = 1,999,636.45
  5. Step 5: Solve for x
    x = 1,999,636.45/1,533.61
  6. Step 6: Final answer
    x = 1,303.88

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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.