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Finding the Fourth Proportional to 1,503.04, 2,074.57 and 913.97

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Solution

The fourth proportional to 1,503.04, 2,074.57 and 913.97 is: 1,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.04 : 2,074.57 = 913.97 : x
  2. Step 2: Convert to fraction form
    1,503.04/2,074.57 = 913.97/x
  3. Step 3: Cross multiply
    1,503.04x = 2,074.57 × 913.97
  4. Step 4: Simplify right side
    1,503.04x = 1,896,094.74
  5. Step 5: Solve for x
    x = 1,896,094.74/1,503.04
  6. Step 6: Final answer
    x = 1,261.51

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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.