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Finding the Fourth Proportional to 2,698.74, 4,038.08 and 2,368.13

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Solution

The fourth proportional to 2,698.74, 4,038.08 and 2,368.13 is: 3,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.74 : 4,038.08 = 2,368.13 : x
  2. Step 2: Convert to fraction form
    2,698.74/4,038.08 = 2,368.13/x
  3. Step 3: Cross multiply
    2,698.74x = 4,038.08 × 2,368.13
  4. Step 4: Simplify right side
    2,698.74x = 9,562,699.26
  5. Step 5: Solve for x
    x = 9,562,699.26/2,698.74
  6. Step 6: Final answer
    x = 3,543.40

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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.