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Finding the Fourth Proportional to 1,870.63, 2,580.65 and 1,162.29

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Solution

The fourth proportional to 1,870.63, 2,580.65 and 1,162.29 is: 1,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.63 : 2,580.65 = 1,162.29 : x
  2. Step 2: Convert to fraction form
    1,870.63/2,580.65 = 1,162.29/x
  3. Step 3: Cross multiply
    1,870.63x = 2,580.65 × 1,162.29
  4. Step 4: Simplify right side
    1,870.63x = 2,999,444.97
  5. Step 5: Solve for x
    x = 2,999,444.97/1,870.63
  6. Step 6: Final answer
    x = 1,603.44

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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.