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Finding the Fourth Proportional to 1,870.86, 2,807.64 and 897.51

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Solution

The fourth proportional to 1,870.86, 2,807.64 and 897.51 is: 1,346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.86 : 2,807.64 = 897.51 : x
  2. Step 2: Convert to fraction form
    1,870.86/2,807.64 = 897.51/x
  3. Step 3: Cross multiply
    1,870.86x = 2,807.64 × 897.51
  4. Step 4: Simplify right side
    1,870.86x = 2,519,884.98
  5. Step 5: Solve for x
    x = 2,519,884.98/1,870.86
  6. Step 6: Final answer
    x = 1,346.91

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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.