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Finding the Fourth Proportional to 2,368.64, 3,554.49 and 1,070.12

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Solution

The fourth proportional to 2,368.64, 3,554.49 and 1,070.12 is: 1,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.64 : 3,554.49 = 1,070.12 : x
  2. Step 2: Convert to fraction form
    2,368.64/3,554.49 = 1,070.12/x
  3. Step 3: Cross multiply
    2,368.64x = 3,554.49 × 1,070.12
  4. Step 4: Simplify right side
    2,368.64x = 3,803,713.07
  5. Step 5: Solve for x
    x = 3,803,713.07/2,368.64
  6. Step 6: Final answer
    x = 1,605.87

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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.