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Finding the Fourth Proportional to 1,496.04, 2,064.54 and 906.16

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Solution

The fourth proportional to 1,496.04, 2,064.54 and 906.16 is: 1,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.04 : 2,064.54 = 906.16 : x
  2. Step 2: Convert to fraction form
    1,496.04/2,064.54 = 906.16/x
  3. Step 3: Cross multiply
    1,496.04x = 2,064.54 × 906.16
  4. Step 4: Simplify right side
    1,496.04x = 1,870,803.57
  5. Step 5: Solve for x
    x = 1,870,803.57/1,496.04
  6. Step 6: Final answer
    x = 1,250.50

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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.