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Finding the Fourth Proportional to 1,656.76, 2,484.30 and 616.72

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Solution

The fourth proportional to 1,656.76, 2,484.30 and 616.72 is: 924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.76 : 2,484.30 = 616.72 : x
  2. Step 2: Convert to fraction form
    1,656.76/2,484.30 = 616.72/x
  3. Step 3: Cross multiply
    1,656.76x = 2,484.30 × 616.72
  4. Step 4: Simplify right side
    1,656.76x = 1,532,117.50
  5. Step 5: Solve for x
    x = 1,532,117.50/1,656.76
  6. Step 6: Final answer
    x = 924.77

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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.