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Finding the Fourth Proportional to 1,477.84, 2,037.15 and 1,104.25

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Solution

The fourth proportional to 1,477.84, 2,037.15 and 1,104.25 is: 1,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.84 : 2,037.15 = 1,104.25 : x
  2. Step 2: Convert to fraction form
    1,477.84/2,037.15 = 1,104.25/x
  3. Step 3: Cross multiply
    1,477.84x = 2,037.15 × 1,104.25
  4. Step 4: Simplify right side
    1,477.84x = 2,249,522.89
  5. Step 5: Solve for x
    x = 2,249,522.89/1,477.84
  6. Step 6: Final answer
    x = 1,522.17

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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.