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Finding the Fourth Proportional to 3,068.02, 4,602.05 and 876.77

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Solution

The fourth proportional to 3,068.02, 4,602.05 and 876.77 is: 1,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.02 : 4,602.05 = 876.77 : x
  2. Step 2: Convert to fraction form
    3,068.02/4,602.05 = 876.77/x
  3. Step 3: Cross multiply
    3,068.02x = 4,602.05 × 876.77
  4. Step 4: Simplify right side
    3,068.02x = 4,034,939.38
  5. Step 5: Solve for x
    x = 4,034,939.38/3,068.02
  6. Step 6: Final answer
    x = 1,315.16

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1.5x scale

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.