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Finding the Fourth Proportional to 2,492.03, 3,439.50 and 1,430.52

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Solution

The fourth proportional to 2,492.03, 3,439.50 and 1,430.52 is: 1,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.03 : 3,439.50 = 1,430.52 : x
  2. Step 2: Convert to fraction form
    2,492.03/3,439.50 = 1,430.52/x
  3. Step 3: Cross multiply
    2,492.03x = 3,439.50 × 1,430.52
  4. Step 4: Simplify right side
    2,492.03x = 4,920,264.63
  5. Step 5: Solve for x
    x = 4,920,264.63/2,492.03
  6. Step 6: Final answer
    x = 1,974.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.