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Finding the Fourth Proportional to 1,852.52, 2,557.59 and 1,154.84

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Solution

The fourth proportional to 1,852.52, 2,557.59 and 1,154.84 is: 1,594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.52 : 2,557.59 = 1,154.84 : x
  2. Step 2: Convert to fraction form
    1,852.52/2,557.59 = 1,154.84/x
  3. Step 3: Cross multiply
    1,852.52x = 2,557.59 × 1,154.84
  4. Step 4: Simplify right side
    1,852.52x = 2,953,607.24
  5. Step 5: Solve for x
    x = 2,953,607.24/1,852.52
  6. Step 6: Final answer
    x = 1,594.37

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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.