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Finding the Fourth Proportional to 1,875.84, 2,582.24 and 1,543.68

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Solution

The fourth proportional to 1,875.84, 2,582.24 and 1,543.68 is: 2,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.84 : 2,582.24 = 1,543.68 : x
  2. Step 2: Convert to fraction form
    1,875.84/2,582.24 = 1,543.68/x
  3. Step 3: Cross multiply
    1,875.84x = 2,582.24 × 1,543.68
  4. Step 4: Simplify right side
    1,875.84x = 3,986,152.24
  5. Step 5: Solve for x
    x = 3,986,152.24/1,875.84
  6. Step 6: Final answer
    x = 2,125.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.