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Finding the Fourth Proportional to 1,870.50, 2,582.13 and 1,172.28

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Solution

The fourth proportional to 1,870.50, 2,582.13 and 1,172.28 is: 1,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.50 : 2,582.13 = 1,172.28 : x
  2. Step 2: Convert to fraction form
    1,870.50/2,582.13 = 1,172.28/x
  3. Step 3: Cross multiply
    1,870.50x = 2,582.13 × 1,172.28
  4. Step 4: Simplify right side
    1,870.50x = 3,026,979.36
  5. Step 5: Solve for x
    x = 3,026,979.36/1,870.50
  6. Step 6: Final answer
    x = 1,618.27

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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.