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Finding the Fourth Proportional to 1,897.84, 2,845.44 and 924.72

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Solution

The fourth proportional to 1,897.84, 2,845.44 and 924.72 is: 1,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.84 : 2,845.44 = 924.72 : x
  2. Step 2: Convert to fraction form
    1,897.84/2,845.44 = 924.72/x
  3. Step 3: Cross multiply
    1,897.84x = 2,845.44 × 924.72
  4. Step 4: Simplify right side
    1,897.84x = 2,631,235.28
  5. Step 5: Solve for x
    x = 2,631,235.28/1,897.84
  6. Step 6: Final answer
    x = 1,386.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.