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Finding the Fourth Proportional to 2,368.08, 3,547.08 and 1,784.52

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Solution

The fourth proportional to 2,368.08, 3,547.08 and 1,784.52 is: 2,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.08 : 3,547.08 = 1,784.52 : x
  2. Step 2: Convert to fraction form
    2,368.08/3,547.08 = 1,784.52/x
  3. Step 3: Cross multiply
    2,368.08x = 3,547.08 × 1,784.52
  4. Step 4: Simplify right side
    2,368.08x = 6,329,835.20
  5. Step 5: Solve for x
    x = 6,329,835.20/2,368.08
  6. Step 6: Final answer
    x = 2,672.98

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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.