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Finding the Fourth Proportional to 1,671.47, 2,307.02 and 1,111.97

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Solution

The fourth proportional to 1,671.47, 2,307.02 and 1,111.97 is: 1,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.47 : 2,307.02 = 1,111.97 : x
  2. Step 2: Convert to fraction form
    1,671.47/2,307.02 = 1,111.97/x
  3. Step 3: Cross multiply
    1,671.47x = 2,307.02 × 1,111.97
  4. Step 4: Simplify right side
    1,671.47x = 2,565,330.51
  5. Step 5: Solve for x
    x = 2,565,330.51/1,671.47
  6. Step 6: Final answer
    x = 1,534.77

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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.