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Finding the Fourth Proportional to 1,416.11, 1,953.47 and 904.13

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Solution

The fourth proportional to 1,416.11, 1,953.47 and 904.13 is: 1,247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.11 : 1,953.47 = 904.13 : x
  2. Step 2: Convert to fraction form
    1,416.11/1,953.47 = 904.13/x
  3. Step 3: Cross multiply
    1,416.11x = 1,953.47 × 904.13
  4. Step 4: Simplify right side
    1,416.11x = 1,766,193.45
  5. Step 5: Solve for x
    x = 1,766,193.45/1,416.11
  6. Step 6: Final answer
    x = 1,247.21

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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.