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Finding the Fourth Proportional to 2,364.83, 3,547.75 and 721.50

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Solution

The fourth proportional to 2,364.83, 3,547.75 and 721.50 is: 1,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.83 : 3,547.75 = 721.50 : x
  2. Step 2: Convert to fraction form
    2,364.83/3,547.75 = 721.50/x
  3. Step 3: Cross multiply
    2,364.83x = 3,547.75 × 721.50
  4. Step 4: Simplify right side
    2,364.83x = 2,559,701.63
  5. Step 5: Solve for x
    x = 2,559,701.63/2,364.83
  6. Step 6: Final answer
    x = 1,082.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.