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Finding the Fourth Proportional to 2,368.44, 3,547.50 and 2,303.03

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Solution

The fourth proportional to 2,368.44, 3,547.50 and 2,303.03 is: 3,449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.44 : 3,547.50 = 2,303.03 : x
  2. Step 2: Convert to fraction form
    2,368.44/3,547.50 = 2,303.03/x
  3. Step 3: Cross multiply
    2,368.44x = 3,547.50 × 2,303.03
  4. Step 4: Simplify right side
    2,368.44x = 8,169,999.16
  5. Step 5: Solve for x
    x = 8,169,999.16/2,368.44
  6. Step 6: Final answer
    x = 3,449.53

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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.