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Finding the Fourth Proportional to 1,534.47, 2,117.85 and 904.96

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Solution

The fourth proportional to 1,534.47, 2,117.85 and 904.96 is: 1,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.47 : 2,117.85 = 904.96 : x
  2. Step 2: Convert to fraction form
    1,534.47/2,117.85 = 904.96/x
  3. Step 3: Cross multiply
    1,534.47x = 2,117.85 × 904.96
  4. Step 4: Simplify right side
    1,534.47x = 1,916,565.01
  5. Step 5: Solve for x
    x = 1,916,565.01/1,534.47
  6. Step 6: Final answer
    x = 1,249.01

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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.