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Finding the Fourth Proportional to 2,385.71, 3,577.08 and 924.53

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Solution

The fourth proportional to 2,385.71, 3,577.08 and 924.53 is: 1,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.71 : 3,577.08 = 924.53 : x
  2. Step 2: Convert to fraction form
    2,385.71/3,577.08 = 924.53/x
  3. Step 3: Cross multiply
    2,385.71x = 3,577.08 × 924.53
  4. Step 4: Simplify right side
    2,385.71x = 3,307,117.77
  5. Step 5: Solve for x
    x = 3,307,117.77/2,385.71
  6. Step 6: Final answer
    x = 1,386.22

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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.