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Finding the Fourth Proportional to 4,656.60, 6,985.80 and 2,024.10

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Solution

The fourth proportional to 4,656.60, 6,985.80 and 2,024.10 is: 3,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.60 : 6,985.80 = 2,024.10 : x
  2. Step 2: Convert to fraction form
    4,656.60/6,985.80 = 2,024.10/x
  3. Step 3: Cross multiply
    4,656.60x = 6,985.80 × 2,024.10
  4. Step 4: Simplify right side
    4,656.60x = 14,139,957.78
  5. Step 5: Solve for x
    x = 14,139,957.78/4,656.60
  6. Step 6: Final answer
    x = 3,036.54

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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.