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Finding the Fourth Proportional to 1,699.61, 2,547.02 and 876.15

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Solution

The fourth proportional to 1,699.61, 2,547.02 and 876.15 is: 1,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.61 : 2,547.02 = 876.15 : x
  2. Step 2: Convert to fraction form
    1,699.61/2,547.02 = 876.15/x
  3. Step 3: Cross multiply
    1,699.61x = 2,547.02 × 876.15
  4. Step 4: Simplify right side
    1,699.61x = 2,231,567.19
  5. Step 5: Solve for x
    x = 2,231,567.19/1,699.61
  6. Step 6: Final answer
    x = 1,312.99

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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.