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Finding the Fourth Proportional to 1,345.61, 1,855.98 and 897.28

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Solution

The fourth proportional to 1,345.61, 1,855.98 and 897.28 is: 1,237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.61 : 1,855.98 = 897.28 : x
  2. Step 2: Convert to fraction form
    1,345.61/1,855.98 = 897.28/x
  3. Step 3: Cross multiply
    1,345.61x = 1,855.98 × 897.28
  4. Step 4: Simplify right side
    1,345.61x = 1,665,329.09
  5. Step 5: Solve for x
    x = 1,665,329.09/1,345.61
  6. Step 6: Final answer
    x = 1,237.60

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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.