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Finding the Fourth Proportional to 1,870.32, 2,801.92 and 1,564.12

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Solution

The fourth proportional to 1,870.32, 2,801.92 and 1,564.12 is: 2,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.32 : 2,801.92 = 1,564.12 : x
  2. Step 2: Convert to fraction form
    1,870.32/2,801.92 = 1,564.12/x
  3. Step 3: Cross multiply
    1,870.32x = 2,801.92 × 1,564.12
  4. Step 4: Simplify right side
    1,870.32x = 4,382,539.11
  5. Step 5: Solve for x
    x = 4,382,539.11/1,870.32
  6. Step 6: Final answer
    x = 2,343.20

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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.